Saturday

August 2, 2014

August 2, 2014

Number of results: 64,659

**Maths Calculus Derivative Integral - Urgent Please**

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 (at the top) to x-5 (at the bottom) of square root of Sin(x)dx
*October 18, 2010 by Nick*

**Calculus Help Please Urgent!!!**

Prove that the integral on the interval [a,b] of x is equal (b^2-a^2)/2 integral a to be (x)dx = (b^2-a^2)/2 using the definition of a Definite Integral. This is the limit of a sum approach. show steps please!!! Thank you!!!
*April 30, 2014 by Anonymous*

**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.
*September 15, 2007 by charlie*

**Calculus Help Please Urgent!!!**

Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. integral from o to pi/2 (2cos^3(x))dx , n = 4 M4 = ?????? Thanks!!!
*May 7, 2014 by Susan *

**please help me calc. have test tom**

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 problem is cos*2*pi*) is ...
*December 13, 2006 by david*

**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 problem is cos*2*pi*) is ...
*December 12, 2006 by david*

**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 do the derivative ...
*December 7, 2006 by Me*

**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, I'm just having trouble...
*May 9, 2009 by Jennifer*

**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 derivative yields me ...
*August 24, 2008 by Arc Length*

**Math**

Use 2nd Fundamental Theorem of Calculus to find derivative of f(x) = integral of 2x^2 to x-5 of square root of Sin(t)dt. Please help.
*October 17, 2010 by Nick*

**Calculus**

1) Find the derivative with respect to x of Integral from 1 to X^3 of sqrt( 1 + t) dt I got sqrt( 1 + X^6) * 3x. Is that right? 2) Integral from 0 to pi/2 of Xcos(X)dx
*December 5, 2007 by Sam*

**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 Then, I think dv = p...
*January 23, 2007 by Shelley*

**AP calculus**

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5) I think the answer is A. Can you check my answer please?
*January 27, 2013 by Anonymous*

**Calculus AB (AP)**

Hi, I have a calculus test tomorrow and I understand how to complete all of the problems, but I am unsure behind the reasoning of taking two derivatives. Can someone please explain the following: 1. g(x)=e^(f(x)) g'(x)=e^(f(x))f'(x) 2. f(x)=Integral from 0 to 3x of the square ...
*April 13, 2011 by Jake*

**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 -2/x^2, but I think I am ...
*March 13, 2009 by Katelyn*

**Calculus**

Find the derivative of Integral from -5 to sin(x) of cos(t^3)+t
*September 7, 2008 by Ben*

**calculus **

Find the derivative d/dx of the integral from x to a of cos(sin(t)) dt
*December 8, 2011 by wizard*

**AP calculus**

∫[0,x^(3),(t)/√(1+t^(3)),] Find the derivative of the integral. A. (3(x^3))/((1+(x^9))^0.5) B. (x^3)/((1+x^9)^0.5) C. (3x^3)/((1+x^3)^0.5) D. (5x^3)/((1+x^6)^0.5) E. (3x^5)/((1+x^3)^0.5)
*January 27, 2013 by Anonymous*

**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) Integral d/da [t^(a)]dt = d/...
*June 7, 2007 by Woof*

**calculus help**

find the derivative of the function. integral cos(x) to sin(x) ((ln(8+3v))dv)
*May 1, 2014 by Kevin*

**calculus help**

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv)
*May 1, 2014 by Chris*

**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. next, let u = sqrt x + 1 ...
*April 20, 2007 by Gabriela*

**calculus urgent**

If you are given a graph of a function, how do you draw the derivative?
*September 30, 2007 by jen*

**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
*January 2, 2011 by adela*

**maths help needed!(urgent)**

find the equation of the tangent to y=x-(a^3/x^2) at the point (a,0) how to i work this out??can someone please show me how to do it step by step?thanks!!! Take the dervative of y y= x- a^3 x^-2 y'=1+2a^3/x^3 so the equation for the tangent is y= mx + b where m is y' above ...
*May 30, 2007 by Emma*

**Math/Calculus**

How would I solve the following integral with the substitution rule? Integral of: [(x^3)*(1-x^4)^5]dx Put 1-x^4 = y Then -4x^3 dx = dy Integral is then becomes: Integral of -1/4 y^5 dy ok, thanks a lot! I got it now.
*May 28, 2007 by COFFEE*

**Calculus II**

Integrate using integration by parts (integral) (5-x) e^3x u = 5-x du = -dx dv = e^3x v = 3e^3x I wonder if this is right so far. = uv - (integral) v du = (5-x)(3e^3x) - (integral) (-3e^3x) =(5-x)(3e^3x) + (integral) (3e^3x) = (5-x)(3e^3x) + 9e^3x + C
*December 30, 2012 by Katie*

**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 (x^2)^2 from 0 to 2=32/5...
*December 15, 2007 by Anonymous*

**calculus -- PLEASE HELP!**

1. Describe how you could approximately find the total number of particles in a rectangular box that is 2m x 2m x 3m by making no more than 12 samples. 2. You know the following facts about a function f(x): The derivative of f(x) is 6x + 4. The integral of f(x) from 1 to 3 is ...
*February 18, 2008 by anonymous*

**calculus**

What is the definite integral from 0 to x of 1/(4 + t + 3t^2) dt? For starters, what is the anti-derivative and how did you find it? I think I could take it from there.
*April 14, 2010 by Gabe*

**calculus help**

find derivative of integral( t sint dt) upper limit 1+2x, lower limit 1-2x Show step by step please! Thank you
*May 6, 2014 by Sibel*

**MATHS! URGENT!**

describe how each sequence is generated and write down the next two terms: a) 40 41 43 46 50 55 b)90 89 87 84 80 75 c)1 3 7 13 21 31 d) 2 6 12 20 30 42 PLEASE HELP its urgent!
*September 29, 2010 by Ami*

**Calculus II/III**

A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part B of our question , the surface of revolution ...
*February 19, 2007 by Ryoma*

**CALCULUS! PLEASE HELP URGENT!**

Which of the following functions have a derivative at x=0? I. y= absolute value(x^3-3x^2) II y= square root(x^2+.01)- absolute value (x-1) III y= e^x/cosx
*October 8, 2009 by Mark*

**calculus please help**

what is the integral of x/(1+x^2)^2 dx This is a question of a past AP exam of calculus BC i know i have to use the substitution method where u=(1+x^2), du=2xdx. I have to find the integral but i'm just focused on the coefficient because i get a different answer for that part ...
*April 4, 2007 by david*

**Math**

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function h(x)=integral [2,1/x]sin^4t dt
*July 26, 2010 by Eileen*

**integral Calculus**

Please help me with this integral problem: ʃ x^2(a^2-x^4)^2dx please help..thanks alot:)
*December 7, 2011 by WAN*

**calculus**

Please help with this. I need the first derivative of f(x)=4(x+squareroot (x(8-x)) and then the second derivative of this to show by the second derivative test that it is a local maximum. This is difficult to put into form here and I hope I have got it right. Many thanks.
*February 24, 2011 by Frank*

**Calculus**

Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u sub and let u=e^2t and got 5/2arctan(e^2t)+C. But this answer is incorrect. Please help. Thanks
*November 16, 2010 by Adam*

**Calculus**

Evaluate the integral: the integral of [5e^(2t)]/[1+4e^(2t)]dt. I used u sub and let u=e^2t and got 5/2arctan(e^2t)+C. But this answer is incorrect. Please help. Thanks
*November 16, 2010 by Adam*

**Calculus**

integral -oo, oo [(2x)/(x^2+1)^2] dx (a) state why the integral is improper or involves improper integral *infinite limit of integration (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges I know f(x)=arctan->f'(x)=1...
*February 8, 2008 by Anonymous*

**Calculus**

In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
*December 5, 2013 by Rasheda*

**Calculus**

Use a symbolic differentiation utility to find the derivative of the function g(x)=x((x^2)+1). Use the utility to graph the function and is derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeroes of the graph of the...
*November 11, 2007 by Jon*

**calculus**

if f(x)= the integral of lntdt from sqrt(x) to 2, what is f'(x)? Do you solve the integral first then derive it? And if so, wouldn't that just give you the function? Please help
*December 18, 2013 by Anonymous*

**Calculus Please Help2**

Evaluate the integral by using substitution. Use an upper-case "C" for the constant of integration. integral x^5((x^6-2)^10)dx ty
*April 25, 2014 by Babak*

**Calculus I**

Find the derivative of y=ln((1+e^x)/(1-e^x)) I know that the derivative of y=ln(1+e^x) would be (e^x)/(1+e^x), but I'm not sure what to do with the 1-e^x on the bottom here. Can someone help please? Thanks!
*May 21, 2012 by Marissa*

**calculus**

how do you solve the integral of 1/[(square root of x)(lnx)] from 2 to infinity? i did the p- integral theorem with 1/square root of x and got it to be a divergent integral. however i was told this was the wrong way and that i should do it by integration by parts. but i can't ...
*August 25, 2009 by kathryn*

**Calculus**

Use the symmetry of the graphs of the sine and cosine functions as an aid in evaluating each definite integral. (a) Integral of sinx*dx from -pi/4 to pi/4 (b) Integral of cosx*dx from -pi/4 to pi/4 (c) Integral of cosx*dx from -pi/2 to pi/2 (d) Integral of sinx*cosx*dx from -...
*November 15, 2009 by John*

**Calculus**

Use derivative formulas to find the derivative of the function. please show your work h(x)=10^3-25x^6+3x^15
*September 25, 2012 by Sarah*

**calculus**

Please help with this. I submitted it below and was asked to clarify by Henry (hope this is clearer and thank you). I need the first derivative of f(x)=4(x+ sqrt (x(8-x)).And then the second derivative of this to show by the second derivative test that it is a local maximum. ...
*March 4, 2011 by Frank*

**Calculus**

I'm having some issues with computing this indefinite integral. I don't know how to even begin. Please help! (let S be the symbol for the integral) S (square root (x)+e^-3x) dx
*May 1, 2012 by Casidhe*

**Calculus**

Find the derivative of the function using the definition of a derivative. F(x)=squareroot(1-3x) Please show work for understanding, thank you! :)
*February 14, 2013 by Tori*

**Calculus Please Help **

Evaluate the indefinite integral Note: Use an upper-case "C" for the constant of integration. integral sqrt(100x^2-400)/x dx Ty
*May 9, 2014 by Josh*

**calculus**

8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the cross-section perpendicular to the y-axis is a square. Set up a definite integral expressing the volume of the solid. Answer choices: integral from -4 to 4 of 4(16-y^2)dy, integral from -4 to 4 of (16+y^2)dy...
*April 14, 2013 by Sally*

**Calculus 2**

The question is: Evaluate the improper integral for a>0. The integral is: the integral from 0 to infinity, of e^(-y/a)dy Can anyone help me solve this? When I try I get 'a', which apparently is incorrect. Thank you!
*September 25, 2011 by Sara*

**Calculus**

evaluate the integral or state that it diverges. Check if I did it correctly. integral 0,1 dr/r^.999 lim b->0+ integral b, 1 1000r^.001 =-1000
*February 8, 2008 by Anonymous*

**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?
*September 6, 2008 by Amanda*

**Integral calculus**

You have not proved to me that the Integral of lnsinx w.r.t.x from 0 to pi/2 is equal to:Integral of lnsinx w.r.t.x from 0 to pi/4 plus Integral of lncosx w.r.t.x from 0 to pi/4.
*June 13, 2012 by alsa*

**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.
*March 23, 2008 by David*

**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.
*March 24, 2008 by David*

**calculus **

LEt f and g be continous functions with the following properties i. g(x) = A-f(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = -3A a find the integral from 1 to 3 of f(x)dx in terms of ...
*February 13, 2011 by Little*

**calculus **

LEt f and g be continous functions with the following properties i. g(x) = A-f(x) where A is a constant ii. for the integral of 1 to 2 f(x)dx= the integral of 2 to 3 of g(x)dx iii. for the integral from 2 to 3 f(x)dx = -3A a find the integral from 1 to 3 of f(x)dx in terms of ...
*February 13, 2011 by alex *

**Calculus**

(x+y)^4 can be expanded starting at x^4*y^0 and taking the sum of the products of the derivative of the x term and the integral of the y term? Why does this work?
*October 25, 2009 by John*

**Calculus**

Find the derivative of F(x)= integral from -2 to x of sqrt(t^3+8)dt? My answer: sqrt(x^3+8)?
*September 6, 2008 by Amanda*

**differential equations**

the directions are to determine whether or not the equation is exact if so then solve it. the question is (x-y^3+ysinx)dx = (3xy^2+2ycosx)dy i solve and i got that it is exact because My is -3y^2+2ysinx and Nx is -3y^2+2ysinx since m and n are equal then they are exact then i ...
*October 8, 2008 by allison*

**Calculus--> bobpursley**

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for the first part of the equation. Isn't the ...
*May 30, 2007 by Anonymous*

**calculus**

evaluate integral or state that it is diverges integral -oo, -2 [2/(x^2-1)] dx ----------------------------------- integral -oo, -2 [2/(x^2-1)] dx Through partial fractions, I came up with lim [ln(x-1)-ln(x+1)] b, -2 b->-oo I get (ln(3)-0)-(oo-oo)). The answer in the back ...
*February 11, 2008 by Anonymous*

**Calculus integral**

evaluate the integral: integral from -pi/4 to 0 for the function 6sec^3x dx. it has to be an exact answer and i did it and keep getting it wrong. I got 4sqrt(2)-4ln(-sqrt(2)+1)
*October 16, 2012 by kajri*

**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.
*November 25, 2007 by Sean*

**calculus**

Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8-x)), then close bracket.And then the second derivative of this to show by the second derivative test that it is a local maximum. This...
*March 1, 2011 by Frank*

**calculus**

1. integral -oo, oo [(2x)/(x^2+1)^2] dx 2. integral 0, pi/2 cot(theta) d(theta) (a) state why the integral is improper or involves improper integral (b) determine whether the integral converges or diverges converges? (c) evaluate the integral if it converges CONFUSE: how would...
*February 10, 2008 by Anonymous*

**calculus**

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as N-->infinity? Does ...
*February 23, 2010 by Lindsay*

**calculus**

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value of the integral as N-->infinity? Does ...
*February 23, 2010 by anonymous*

**MATH urgent**

Hello!! 1. find the third derivative of f(t)=(t-1)/(t+1) 2. y= x^(x^2) ; dy/dx please help! thank you!
*December 6, 2012 by Jess*

**Maths - Calculus **

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)
*February 13, 2011 by Christine *

**Maths - Calculus **

Can anyone help with this...I need to find the derivative of the functions below. If possible please show working so I can try and understand? f(t) =3-t^4 and g(t)=sin(4t) Then using the Quotient Rule differentiate the function k(t) 3-t^4/ sin(4t) (0<t< pie)
*February 13, 2011 by Christine *

**Calculus**

for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __
*November 30, 2011 by bob*

**Maths Calculus**

Find the first derivative for the following functions 1) x^3 . sqrt( 3x^5 + 1 ) . sin (7x)
*October 22, 2011 by Yousef*

**trig integration**

s- integral endpoints are 0 and pi/2 i need to find the integral of sin^2 (2x) dx. i know that the answer is pi/4, but im not sure how to get to it. i know: s sin^2(2x)dx= 1/2 [1-cos (4x)] dx, but then i'm confused. The indefinite integral of (1/2) [1-cos (4x)] is (x/2) - (1/2...
*February 18, 2007 by christine*

**Further maths **

Under differential calculus using the product rule find the derivative of (2x+3)^3(4x^2-1)^2
*March 13, 2011 by Stanley dominic*

**Calculus**

What is the integral or e^(-x)? What is the derivative of - e-x ?
*March 26, 2007 by Ari*

**Calculus**

Evaluate the improper integral or state that it diverges: integral from -inf to inf (2xe^-x) dx. Please help!
*March 20, 2014 by diana*

**Calculus - derivatives**

Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the derivative of (x^x)^(x^x) (using ln). This is what ...
*November 29, 2009 by Lucy X*

**Further maths**

But i need a more detail explanation find the derivative function of the differential calculus (2x+3)^3(4x^2-1)^2
*March 14, 2011 by Stanley dominic*

**Calculus**

Can someone look over my work and tell me if my steps look correct? I'm trying to correct some problems that looked wrong. Instructions: Find the total areas between the given curves. 1. x= (y^3) and x=(y^2) on the interval [0,1] (integral from 0 to 1 of) ((y^3)-(y^2))dy = (...
*September 10, 2009 by Jenna*

**Calculus**

Which of the following is a step in evaluating. (Integral) cos^2 5x dx A. (Integral) 1+cos10x/2 dx B. (Integral) 1-cos10x/2 dx C. (Integral) 1+cos10x/20 dx D. (Integral) 1-cos10x/20 dx
*August 4, 2012 by Cynthia*

**Calculus Help and Check**

find the derivative of the function integral from cosx to sinx (ln(8+3v)dv) y'(x)= (sin(8+3((sin(x)))+x)+sin(8+3sin(x)-x))/2 Is this the right answer?????
*May 1, 2014 by Chris*

**Calculus**

Find a curve through the point (1,1) whose length integral is given below. L= integral from 1 to 4 sqrt(1+(1/4x))dx Let the curve be y=f(x). Determine (dy/dx)^2 PLease help I m nt sure even how to start this
*September 17, 2012 by kavlo*

**calculus**

how do you find the derivative of (X^2(2+x^1/2))/x^4. I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.
*October 23, 2007 by jennifer*

**Calculus**

You are given the four points in the plane A=(7,4) ,B=(9,-3) ,C=(13,5) , and D=(16,-2 . The graph of the function consists of the three line segmentsAB ,BC and CD . Find the integral between x= 16 and x= 7 by interpreting the integral in terms of sums and/or differences of ...
*November 28, 2009 by Bobby*

**CALCULUS 2!!! PLEASE HELP!!**

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 a line y(x) is Length...
*October 19, 2006 by Krystal*

**Calculus**

I need help with this integral. w= the integral from 0 to 5 24e^-6t cos(2t) dt. i found the the integration in the integral table. (e^ax/a^2 + b^2) (a cos bx + b sin bx) im having trouble finishing the problem from here.
*August 30, 2009 by Bobby Smith*

**Calculus: Integral**

I don't understand how to do this one integral problem that involves secant. I'm asked to find the integral of sec^4 (4x). I'm not really sure how to go about solving this problem.
*March 31, 2014 by Anonymous*

**math, calculus**

if f(1)=12 and f' is continuous, what is the value of f(4)? integral from 1 to 4 of f'(x)dx = 17 IF the integral of f'(x) dx from 1 to 4 is 17, as you say, then the function f(x), which is the integral with an arbitrary constant, changes by 17 from 1 to 4. Then the value of f(...
*November 27, 2006 by Nicole*

**Calculus**

Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.
*June 4, 2012 by Sam*

**math derivative please help**

the derivative of 2x^e is zero right or no? do i have to use the log formula 2 x^e is x to the power 2.718.. It is not a constant and therefore the derivative is not zero. Use the formula for the derivative of x to a power that is constant (x^a). The formula for that may ...
*September 24, 2006 by Anonymous*

**Math - urgent**

Evaluate the definite integral 8 S (3x^2 + 3)/(x^2) dx 5 Not sure which substitution to use. Please show your work & explain. Thanks
*September 28, 2011 by Mary*

**Calculus**

F(x) = cos(x) the integral from 2 to x + 1 of e^(u +5)du Find F'(x). When i did this, i got: -2xsin(x)e^((x+1) + 5) But my teacher got: -sin(x) the integral from x + 1 of e^(u +5)du + 2xcos(x)e^((x+1) + 5) Do you know why the integral is in his answer? I'm not sure...
*October 17, 2011 by Erica*

**Calculus**

Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve? Antiderivatives is another word for integral. Why area? THink on this...the integral is the sum of all the "heights" times ...
*September 12, 2006 by Jan*

**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 root of u and (u - 1) ...
*January 27, 2011 by CMM*

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