1) Find the derivative with respect to x of Integral from 1 to X^3 of sqrt( 1 + t²) dt I got sqrt( 1 + X^6) * 3x². Is that right? 2) Integral from 0 to pi/2 of Xcos(X²)dx

91,866 questions
1. Calculus

1) Find the derivative with respect to x of Integral from 1 to X^3 of sqrt( 1 + t²) dt I got sqrt( 1 + X^6) * 3x². Is that right? 2) Integral from 0 to pi/2 of Xcos(X²)dx

asked by Sam on December 5, 2007
2. calc

find the area between the x-axis and the graph of the given function over the given interval: y = sqrt(9-x^2) over [-3,3] you need to do integration from -3 to 3. First you find the anti-derivative when you find the anti-derivative you plug in -3 to the

asked by mikayla on April 18, 2007
3. Calculus

Find the volume of the solid whose base is the region in the xy-plane bounded by the given curves and whose cross-sections perpendicular to the x-axis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral

asked by Anonymous on December 15, 2007
4. Calculus 2 (Differential Equation)

How would you solve the following problem explicitly? Sqrt(1-y^2) dx - sqrt(1-x^2) dy I separated the x and y terms and got: Integral of 1/sqrt(1-x^2) dx = Integral of 1/sqrt(1-y^2) dy I was wondering how would you take the anti-derivative of each

asked by Rena on March 26, 2015
5. Calc.

Evaluate the indefinite integral. Please check my work? Not sure if I am doing this correctly. S= integral symbol S x^3*sqrt(x^2 + 1) dx u = x^2+1 x^2= u - 1 du = 2xdx du/2 = xdx 1/2 S x^2 * x sqrt (x^2 + 1) du 1/2 S (u - 1) * sqrt (u) du multiply square

asked by CMM on January 27, 2011

I'm having trouble with this question on arc length: y=lnx, (squareroot)3/3 greater than or equal to x less than or equal to 1 It sounds as if you want the length of the y = ln x curve from x = sqrt(3)/3 (0.57735..) to 1. The formula for the arc length of

asked by Krystal on October 19, 2006
7. calc check: curve length

Find the length of the curve y=(1/(x^2)) from ( 1, 1 ) to ( 2, 1/4 ) [set up the problem only, don't integrate/evaluate] this is what i did.. let me know asap if i did it right.. y = (1/(x^2)) dy/dx = (-2/(x^3)) L = integral from a to b for:

asked by COFFEE on July 2, 2007
8. calculus

Find the length of the arc formed by y = (1/8)(4x^2-2ln(x)) from x=4 to x=8. I found the derivative of the function and got y'= x-(1/4x) Where I'm lost now is after plugging it into the arc length equation: integral of sqrt(1+(x-(1/4x))^2). Squaring the

asked by Arc Length on August 24, 2008
9. Calculus

Find the derivative of the integral from 2 to 5x of (sqrt(1 + u^2))/u. My answer: (sqrt(1 + 25x^2)/5x) * 5﻿﻿﻿﻿

asked by Anonymous on February 15, 2017
10. Calculus

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150 - (1/40)(x-50)^2 Find the distance traveled by the kite. y = 150 - (1/40)(x-50)^2 y = 150 -

asked by COFFEE on June 13, 2007
11. Calculus - repost

Find the derivative of F(x)= integral from -2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)? Is this right?

asked by Amanda on September 6, 2008
12. Calculus

Find the derivative of F(x)= integral from -2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)?

asked by Amanda on September 6, 2008
13. Calculus URGENT test tonight

Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^-1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first step was a good one.

asked by Gabriela on April 20, 2007
14. Math

Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: integral[4,1] sqrt(1+(dy/dx)^2) dy/dx

asked by Daisy on January 25, 2017

For what values of x is the graph of y = 8e^−x^2 concave down? (Enter your answer using interval notation.) I started by finding the second derivative and factoring and ended up getting 16e^-x^2 (2x^2-1) and I know up till this part that I'm doing the

asked by Marilyn on October 8, 2015
16. Calculus

so we are doing integrals and I have this question on my assignment and I can't seem to get it, because we have the trig substituion rules, but the number isn't even so its not a perfect square and I just cant get it, so any help would be greatly

asked by Tracy on June 10, 2007
17. Calculus

Graph the curve and find its exact length. x = e^t + e^-t, y = 5 - 2t, from 0 to 3 Length = Integral from 0 to 3 of: Sqrt[(dx/dt)^2 + (dy/dt)^2] dx/dt = e^t - e^-t, correct? dy/dt = -t^2 - 5t, correct? So: Integral from 0 to 3 of Sqrt[(e^t - e^-t)^2 +

asked by COFFEE on June 13, 2007
18. CALCULUS HELP

Find the second derivative for the function 5x^3+60x^2-36x-41 and solve the equation F(X)=0 i got to the second derivative but what do we do next to be able to get one of these answers.. F(x) = 5x3+60x2−36x−41 1. derivative of F(x) with respect to x =

asked by Herosugar on September 26, 2012
19. calculus

find the derivative with respect to x: sqrt(x+s) = (1/x) + (1/s)

asked by terra on October 16, 2011
20. calc

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the

asked by david on December 12, 2006
21. calc: arc length

find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2

asked by COFFEE on June 11, 2007
22. Calculus

Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9. -------------- Is this basically 1/4 of an oval/ellipse? If so then the area would be: pi*9*3, correct? So the X coordinate would equal: 1/Area * Integral from 0 to 9 of (x*f(x))*dx

asked by COFFEE on June 17, 2007
23. calc: avg value

Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(b-a))*inegral of a to b for: f(x) dx f ave = (1/(2-0))*integral

asked by COFFEE on July 2, 2007
24. calculus

using the fundamental theorem of calculus what is the derivative of the definite integral from x^3 to sqrt x of (sqrt t) sin t dt

25. calc check: average value

Find the average value of the function "f(x) = x^2 sqrt(1+x^3)" on the interval [0,2]. and this is what i did.. please check for mistakes. thanks :D f(x) = x^2 sqrt(1+x^3), [0,2] f ave = (1/(b-a))*inegral of a to b for: f(x) dx f ave = (1/(2-0))*integral

asked by COFFEE on June 30, 2007
26. Calculus

Hi. In an integration solution, the integral of (1/(sqrt (8-u squared)) is written as arcsin(u/sqrt 8), but I don't see how they got it. When I did it I got (1/8)*(arcsin(u*sqrt8)). What I did was take sqrt8 common in the denominator to get it in the form

asked by O_o Rion on December 5, 2009
27. calculus

f(x) = 6x^2 -8x +3 how would I find the most general antiderivative of the function. I also have to check my answer by differentiation. Would I have to find the derivative first? (I got 12x -8) What are the steps to solving a problem like this? No, don't

asked by Me on December 7, 2006
28. Calculus

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150 - (1/40)(x-50)^2 Find the distance traveled by the kite. y = 150 - (1/40)(x-50)^2 y = 150 -

asked by COFFEE on June 13, 2007
29. Calculus

Given the equation xy = 2, set up an integral to find the length of path from x = a to x = b and enter the integrand below. I did the integral from b to a and set it equal to the sqrt(1+4/x^4), because I found y to equal 2/x and the derivative to be

asked by Katelyn on March 13, 2009
30. calc 1

When graphing the integral of sin(x^2) is there a way to shift the graph vertically, without just tacking "+c" on the end? If it helps, the solution to this integral is .5*sqrt(2)*sqrt(Pi)*FresnelS((sqrt(2)*x)/sqrt(Pi))

asked by Anne on December 2, 2013
31. trig sub question

Hello, I have a question concerning trigonometric substitution. let's say we have integral of dx/sqrt(9x^2 + 4), so after doing a few steps we have: 2/3 integral of sec0/sqrt((2tan0)^2 + 4*) d0 (the * is for later on) the next step turns into: 2/3 integral

asked by Tom on February 22, 2013
32. Calculus II

y = *The Integral Of sin(4e^t)dt* a = 0 b = ln(2x) I'm supposed to find the derivative of y with respect to x. Except I just can't find the right answer.

asked by Sean on November 25, 2007
33. Calculus

Integration with U-Substitution Integral of [x/sqrt(x+1)] dx I'm getting confused with how to deal with the x when I find the derivative of (x+1) because they don't match.

asked by Anonymous on February 12, 2015
34. Math - Calculus

Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0

asked by Anon on December 8, 2016
35. Calc I

Find the range of y = (3x-1)/(2x^2 + x - 6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary number during the

asked by Kate on July 25, 2010
36. calc

i need to find the definite integral from 0 to 2|b| of .... x divided by sqrt(x^2 + b^2) dx im having a lot of trouble, thanks in advance Let u = x^2 + b^2 du = 2x dx The integrand becomes (1/2) u^(-1/2) du and the integral of this is u^(1/2) = sqrt(x^2 +

asked by tyler on January 31, 2007
37. Calculus review

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know

asked by Prince@18 on February 9, 2017
38. Math (Definite Integrals)

Sketch the region given by the definite integral. Use geometric shapes and formulas to evaluate the integral (a > 0, r > 0). r ∫ sqrt(r^2 - x^2) dx -r While I recognize that this looks similar to a circle function, I'm not sure how to graph and evaluate

asked by Ray on April 6, 2017
39. calc

find the derivative of y = sqrt(9 - 16x) Use the chain rule. First find the derivative of the sqrt, and multiply that by the derivative of what is contained inside. Cake. Use the chain rule. If we have y(x)=sqrt(9-16x) then y'=d/dx(sqrt(9-16x))*d/dx(9-16x)

asked by joe on September 27, 2006
40. Calculus

find derivitive of 1/square root of x 1/square root of x = x^(-1/2) The derivative is -1/2 x^(-3/2) can you keep going on the problem to not have negative exponents? You can also use that the derivative of 1/f(x) is given by: -f'(x)/[f(x)]^2 If you take

asked by Linds on January 18, 2007
41. calculus

Let F(x)= the integral from 0 to 2x of tan(t^2) dt. Use your calculator to find F″(1) By applying the fundamental theorem of calculus, I got the derivative of the integral (F'(x)) to be 2tan(2x^2) When I take the derivative to find F''(x) I get 8x

asked by Anonymous on May 16, 2018
42. Calc

Find the area of the region bounded by the curves y = sin^-1(x/6), y = 0, and x = 6 obtained by integrating with respect to y. Please include the definite integral and anti-derivative.

asked by LilPeep on January 3, 2018
43. Calc 2

a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 separate integrals? Like: Integral of x^2 and the other integral of 1/sqrt(1+(x^2)) b. Integral (x^7)/(ln(x^4))dx Do I use integration by parts for this? I put u= lnx du = 1/x dv = x^7 v =

asked by Bae on May 3, 2014
44. calc asap!

can you help me get started on this integral by parts? 4 S sqrt(t) ln(t) dt 1 please help! thanks! Integral t^(1/2)Ln(t)dt = 2/3 t^(3/2)Ln(t)- 2/3 Integral t^(1/2) dt = 2/3 t^(3/2)Ln(t) - 4/9 t^(3/2) Simpler method: Integral t^(a)dt = t^(a+1)/(a+1)

asked by Woof on June 7, 2007
45. Calculus

I have two questions, because I'm preparing for a math test on monday. 1. Use the fundamental theorem of calculus to find the derivative: (d/dt) the integral over [0, cos t] of (3/5-(u^2))du I have a feeling I will be able to find the derivative easily,

asked by Jennifer on May 9, 2009
46. Calculus Fundamental Theorem

Evaluate the definite integral. function: (t+8)(t^2+3) with respect to variable t lower limit: -sqrt(2) upper limit: sqrt(2)

asked by Max on November 20, 2013
47. Calculus

Evaluate the indefinite integral: 8x-x^2. I got this but I the homework system says its wrong:sqrt((-x-8)x)/(2*sqrt(x-8)*sqrt(x))*(((sqrt(x-8)*(x-4)*sqrt(x))-32*log(sqrt(x-8)+sqrt(x))

asked by Shannon on February 13, 2009
48. Calculus

A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 to x = 80 ft is given by the following. y = 150 - (1/40)(x-50)^2 Find the distance traveled by the kite. y = 150 - (1/40)(x-50)^2 y = 150 -

asked by COFFEE on June 15, 2007
49. Calculus (Help)

Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took the derivative of that and

asked by Confused on February 21, 2007
50. Integrals- Log/Ln

Can you check this please i'm not sure why it's wrong .__. 1) indefinite integral of 1/t *ln(t) dt the t*ln(t) is altogether on the bottom i got ln(ln(x)) + C 2) find the indefinite integral of 1/(sqrt(t)*[1-2*sqrt(t)]dt sqrt(x) is on the bottom. i got

asked by Erika on May 24, 2013

d/dx integral from o to x of function cos(2*pi*x) du is first i do the integral and i find the derivative right. by the fundamental theorem of calculus, if there is an integral from o to x, don't i just plug the x in the function. the integral of the

asked by david on December 13, 2006
52. Math (Calculus II) (Volume Revolution Setup)

Consider the graph of y^2 = x(4-x)^2 (see link). Find the volumes of the solids that are generated when the loop of this graph is revolved about (a) the x-axis, (b) the y-axis, and (c) the line x = 4. goo.gl/photos/v5qJLDztqsZpHR9d7 I'm just having trouble

asked by Ray on April 28, 2017
53. Calculus II

Evaluate using u-substitution: Integral of: 4x(tan(x^2))dx Integral of: (1/(sqrt(x)*x^(sqrt(x))))dx Integral of: (cos(lnx)/x)dx

asked by RuggedChild on February 24, 2009
54. Calc BC

1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite integral

asked by Zooey on September 27, 2011
55. intergrals

find value of def integral with a=-2 and b=2sqrt(3) definite integral is : x^3 * sqrt(x^2+4) dx for integral i get 1/15 *((4+x^2)^(3/2)) (-8+3x^2) for value i get [1536- 64sqrt(2)]/15 but its' wrong. help please

asked by Mikey on May 26, 2013
56. Calculus - Integrals

I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.

asked by David on March 24, 2008
57. Calculus - Integrals

I have 3 questions, and I cannot find method that actually solves them. 1) Integral [(4s+4)/([s^2+1]*([S-1]^3))] 2) Integral [ 2*sqrt[(1+cosx)/2]] 3) Integral [ 20*(sec(x))^4 Thanks in advance.

asked by David on March 23, 2008
58. Differential Equations

Locate the bifurcation values of a for the one-parameter family and describe the bifurcation that takes place at each such value. dy/dt=e^(-y^2)+a I got that the equilibrium points will be at -sqrt(ln(a)). I don't know if that is fine. I took the partial

asked by Erica on February 7, 2013
59. Differential Equations

Locate the bifurcation values of a for the one-parameter family and describe the bifurcation that takes place at each such value. dy/dt=e^(-y^2)+a I got that the equilibrium points will be at -sqrt(ln(a)). I don't know if that is fine. I took the partial

asked by Erica on February 7, 2013
60. Math

Evaluate the integral of e^(1/x) / x^2 from [1,2]. I let u =1/x, but then I am stuck because I am not sure what is the derivative of 1/x is? The answer in the book is e- sqrt(e)

asked by Dave on September 13, 2017
61. Calculus

1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2 -1)). 4. Find the derivative

asked by Anonymous on February 24, 2015
62. calculus

Calculate definite integral of dx/(x^4 * sqrt(x^2 + 3)) Over (1,3) I start with the substitution x = sqrt(3)*tan t so: sqrt(x^2 + 3) = sqrt(3) * sec t dx = sqrt(3) * sec^2 t dt x^4 = 9 * tan^4 t The integral simplifies to: = dt/(tan^3 t * sin t) How do I

asked by mathstudent on December 31, 2007
63. finding c: calc

let f(x)=square root x. if the rate of change of at x=c is twice its rate of change at x=1, then c=? what???? i don't get get it. to begin with, i took the derivative if that helps which is 1/(2*sqrtx) . f'(x) = 1/(2*sqrtx) is correct f'(x=1) = 1/2 The

asked by david on December 5, 2006
64. calculus

Suppose R is the rectangle 1

asked by Bryant on March 18, 2012
65. calculus

A) How do you prove that if 0(

asked by Sarita on April 4, 2010
66. Calc I

if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t-1)^-1/2 * 4t^3 and i'm trying to figure out if i need the product rule again to find the second derivative -1t^3(4t-1)^-3/2 * 4t^3 The answer if -4/27 and I'm not sure how to get that

asked by Brian on December 7, 2014
67. Calc

Sqrt(xyz) I rewrote it has x^(1/2)*y^(1/2)+z^(1/2) And the derivative with respect to x is Sqrtyz/(2sqrtx) is that right

asked by D on September 20, 2013
68. Calculus

Find the area of the region bounded by the curves of y=sin^-1(x/4), y=0, and x=4 obtained by integrating with respect to y. Your work must include the definite integral and the anti-derivative. I am really confused on this question. I graphed all of the

asked by Dloc on May 2, 2017
69. ap calculus

Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 +

asked by Jess on December 19, 2012
70. Calculus

If I have a function f(x), and am given its derivative, f'(x): may I take it as a given that f(x) is an integral of f'(x). My reasoning is that 'undoing' the derivative gives me the derivative. Eg is 1/3x^3 an integral of x^2? Thanks.

asked by charlie on September 15, 2007
71. calculus II

Using integration by substitution. find the exact value of integral from [0,9/16] sqrt(1 - sqrt(x))/(sqrt(x))

asked by Alex on December 10, 2011
72. Calculus

Find the volume of the solid obtained by rotating the region bounded by y=x^2, y=sqrt(x), about y=1. I have to use either the disk or washer method and i believe i use washer. i set up the integral to be pi[(1-x^3)^2 -(1-sqrt(x))^2] from 0 to 1 for my

asked by Jedidiah on October 9, 2015
73. Calculus prince@18

let the function h(x)= (integrand symbol from 2 to x^2)arctan (t) dt. Find h'(x). This question confused me because i know the derivative of an integral is the original function. I just need help with finding the derivative of that integral. I don't know

asked by Prince@18 on February 9, 2017
74. Calculus

The base of a solid is bounded by the curve y=sqrt(x+1) , the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid a. 1 b. 2 c. 2.333 d. none of the above I got a little confused, but

asked by Anonymous on May 11, 2018
75. Multivariable calculus

Hello, I have the next exercise about chain rule in multivariable calculus: I have to show that the differential equation: y(dz/dx)-x(dz/dy) = (y-x)z can be change to the equation: (dw/dv) = 0 using the new variables: u= (x^2)+(y^2) v = (1/x)+(1/y) w =

asked by Susan on June 11, 2017
76. calc: arc length

Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x ) 1/2

asked by COFFEE on June 12, 2007
77. double integral

1. Sketch the region of integration & reverse the order of integration. Double integral y dydz... 1st (top=1, bottom =0)... 2nd(inner) integral (top=cos(piex), bottom=(x-2)... 2. Evaluate the integral by reversing the order of integration. double integral

asked by Michelle on March 11, 2011

f(x,y)=x^2 - y^2 a)partial derivative with respect to x. So this means that you hold y^2 constant so would that be 0. So the answer would be 2x? b) partical derivative with respect to y. 2y

asked by Hannah on April 29, 2011
79. Calculus check

The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16-2x. Let R be the region bounded by the x-axis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but do not evaluate, an

asked by Anonymous on April 16, 2015
80. Calculus Question! ASAP!

Hello! I have this problem: x(dx)/sqrt(9-x^2) I was wondering why I can't use trig substitution and substitute sqrt(9-x^2) for sqrt(1-sec^2) and having: integral x = 3sin(theta) dx = 3cos(theta)d(theata) integral 3sin(theta)(3cos(theta))/3cos(theta) having

asked by Lucy on February 15, 2017
81. Calculus

1. Find the are between the curves y=e^x and y=4-x^2 graphically. a.) set up the integral b.) include bounds rounded to three decimal places c.) use integral function on calculator 2. Find the area of the "triangular" region bounded by y=4-x on the left,

asked by Amy on April 14, 2011
82. Calculus

Hello, I have some calculus homework that I can't seem to get started..at least not on the right track? I have 3 questions 1. integral of [(p^5)*(lnp)dp] I'm using the uv-integral v du formula So first, I'm finding u and I think it's lnp.......so du is 1/p

asked by Shelley on January 23, 2007
83. Calculus

Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from -sqrt(1-x^2) to sqrt(1-x^2) The inner one goes from -sqrt(1-x^2-z^) to sqrt(1-x^2-z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't

asked by Mackenzie on December 17, 2012
84. Calculus

Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from -sqrt(1-x^2) to sqrt(1-x^2) The inner one goes from -sqrt(1-x^2-z^) to sqrt(1-x^2-z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't

asked by Mackenzie on December 16, 2012
85. Calculus

Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from -sqrt(1-x^2) to sqrt(1-x^2) The inner one goes from -sqrt(1-x^2-z^) to sqrt(1-x^2-z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't

asked by Mackenzie on December 16, 2012
86. Calculus

Evaluate the integral by changing to spherical coordinates. The outer boundaries are from 0 to 1. The middle one goes from -sqrt(1-x^2) to sqrt(1-x^2) The inner one goes from -sqrt(1-x^2-z^) to sqrt(1-x^2-z^) for 1/sqrt(x^2+y^2+z^2) dydzdx I don't

asked by Mackenzie on December 16, 2012
87. Calculus (Please check my work!)

Suppose that y = f(x) = x^2 - 4x + 4. Then on any interval where the inverse function y = f-1(x) exists, thederivative of y = f-1(x) with respect to x is: (Hint: x^2 - 4x + 4 can be factored and rewritten as "something" squared.) Work thus far: Okay, so I

asked by Anonymous on March 15, 2012
88. Calculus

Find the derivative of cos(sqrt(e^(x^3)cos(x)) I got -sin(sqrt(e^(x^3)cos(x))*((sqrt(e^(x^3)cos(x)) Do I just leave the e^(x^3)cosx alone since it's "e" or do I still have the find the derivative for it?

asked by Z32 on September 15, 2009
89. Calculus antiderivatives

find an antiderivative of the function ((t-1)^2)/sqrt(t) that goes through the point (1,2) i find derivative of top and bottom first and get 2t-2/(1/2*sqrt(t)) but this doesnt give right solution then i find diervative of that again and i get 2/(-1/4 *

asked by Mikey on May 26, 2013
90. Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x^2)/(sqrt(7x^2+4))dx dx x=?

asked by Salman on December 14, 2009

1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with respect to x. A.-sin (2x) B.-2x

asked by anon on March 6, 2011
92. Calculus AP

hi again im really need help TextBook: James Stewart:Essential Calculus, page 311. Here the problem #27: First make a substitution and then use integration by parts to evaluate the integral. Integral from sqrt(pi/2) TO sqrt(pi)of θ^3 cos(θ^2)dθ. i did

asked by Vicky on August 2, 2012
93. Calculus

Hi, been tearing my hair out over this question. I think I'm on the right track, but just not sure how to finish it. Anyway, here it is: A particle is moving along the ellipse 4x^2 + 16y^2 = 64. At any time 'T' its x- and y-coordinates are given by x =

asked by Matt on October 16, 2006
94. Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT x(sqrt(8x^2-64x+120))dx x=?

asked by Salman on December 14, 2009
95. Calculus

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x)/(sqrt(-191-8x^2+80x))dx x=?

asked by Salman on December 14, 2009
96. calculus

find the derivative of f(x)=x^2sec^2(3x) also with g(x)=sqrt(cosxsecx) i get zero because cos and sec cancel each other out and derivative of a constant is zero... am i doing something wrong?

asked by anonymous on March 20, 2011
97. Math

Find the derivative of f(x)= 2 sqrt x at x=4. i thought that the derivative would be 2 x^1/2 but I guess this is wrong.

asked by Hannah on February 5, 2011
98. Math:)

A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians? a.

asked by girly girl on March 22, 2018
99. Math

How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well. You can approximate it or simplify it in terms of (products of) square roots of smaller numbers. E.g. consider sqrt The

asked by Emily on February 12, 2007
100. math

find derivative using limit definition: f(x) = x - sqrt(x) so f'(x) = lim h->0 [f(x+h) - f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or anything and I can't get the

asked by terra on September 26, 2011