# Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx

28,132 questions
1. ## Integral calculus

Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x dx

asked by Febby-1 on April 13, 2007
2. ## calculus

1) Integrate Cos^n(x) dx 2) Integrate e^(ax)Sinbx dx 3) Integrate (5xCos3x) dx I Will be happy to critique your thinking on these. 1) Derive a recursive relation. 2) Simplest by replacing sin(bx) by Exp[i b x] and taking imaginary part at the end. 3) First

asked by Febby on April 13, 2007
3. ## Integral calculus

Please can anyone help with the following problems - thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these integrals is using partial

asked by Febby on April 13, 2007
4. ## Calculus

6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b = 1/2with ?1/(1+t) dt with a = 0, b = 1, and repeat the four steps. a. integrate using a graphing utility b. integrate exactly c. integrate by replacing the integrand with a Taylor

asked by Rajeev on October 16, 2011
5. ## Calc 1

integrate from 0 to pi/4 (sec^2x)/((1+7tanx)^2)^1/3 integrate form pi^2/36 to pi^2/4 (cos(x^1/2))/(xsin(x^1/2))^1/2 integrate from 0 to pi/3 (tanx)/(2secx)^1/2

asked by Frank on November 30, 2012

dy/dx = 2y^2 Integrating...y=2/3 y^3 + C put 1,-1 into the equation, and solve for C. Then find the y for x=2 if y= a^uhttp://math2.org/math/integrals/tableof.htm see exponential functions. dy/dx=2y^2 and if y=-1 when x=1, then when x=2, y=? how do i get x

asked by bobpursley on December 10, 2006
7. ## calculus 2

Justify, with a written explanation or a mathematical reasoning and with a sketch of at least two different cases, the following properties of integrals: a) If f(x) is less than or equal to g(x) for a

asked by bobby on September 12, 2012

Your CEO is concerned that too much productivity is lost by having employees call each other, only to be directed to voice mail. He asks you if something can be done to counter this. What do you suggest? a) Integrate Dropbox into the company network. b)

asked by Amber on August 31, 2019
9. ## Maths

Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(a-x) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form

asked by Ashley on March 18, 2019
10. ## Mathematics-Integration

Question: Prove that [integrate {x*sin2x*sin[π/2*cos x]} dx] /(2x-π) } from (0-π) = [ integrate {sin x*cos x*sin[π/2*cos x} dx ] from (0-π). My thoughts on the question: We know that integrate f(x) dx from (0-a) = integrate f(a-x) dx from (0-a) From

asked by Shenaya on June 8, 2017
11. ## calculus

Integrate sqrt(x^2 + 1) dx over [0,2*pi] I can substitute u=arctan x to get: Integrate (sec u)^3 du over [0,arctan(2*pi)] From there, I'm stuck. (thanks Count Iblis for your last help)

asked by Parker on July 6, 2012
12. ## Calculus

Calc length of arc of y=ln(x) from x=1 to x=2 ---- So far: Definite Integral over x=(1,2) of sqrt(1 + 1/x) dx 1/x = tan^2 t x = 1/tan^2 t sqrt(1+1/x) = sqrt(1+tan^2 t) = sec t dx = -2 * tan^-3 t * sec^2 t dt Integrate over x=(1,2): sec^3 t / tan^3 t dt

asked by mathstudent on January 2, 2008
13. ## Calculus

Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that

asked by saywhat on October 21, 2010
14. ## calcus

Sketch the regions enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. integrate with either respect to x or y, then find area S of the region given that

15. ## Maths

Integrate e^(2x)*((2x-1)/(4(x)^2))^2 My thoughts on this question : I simplfied the terms after the "*" to get three separate integrals : integrate (e^(2x)) + ((e^(2x))/4(x^2)) + ((e^(2x))/x) The answer for the first integral is obvious and then I was able

asked by Arya_S on March 9, 2019
16. ## calculus-integration!

should i use substitution?? if yes how should should i use it? plz i need some directions? k plz someone?...so far i used trig. substitution. i got a=8, so i used x=asin(è)so according to this substitution i got x=8sin(è) and dx=8cos(è) dè...then i

asked by Maria on May 6, 2007
17. ## Math Integration

Integrate: f (x)/(2x + 1) dx let f represent integrate sign let u = x, du = dx => dx = du = f (u)/(2u + 1) du = f u (2u + 1)^(-1) du = (1/2)u^2 (ln|2u + 1|) + c = (1/2)x^2 (ln|2x + 1|) + c ...what did I do wrong? The correct answer is (1/2)x - (1/4)ln|2x +

asked by Anonymous on February 11, 2009
18. ## Math

find the volume bounded by the parabolic cylinder z=4-x^2 and the planes x=0, y=0, y=6 and z=0 I just want some help figuring out the limits of this question : So for z, we have to integrate from z=0 to z=4-x^2 (am i right?) W.r.t. y, we should integrate

asked by Aryaa on October 19, 2019
19. ## integrate

integrate du/3u and integrate x/x^2 dx it might be simple...i just need a head start...tnx

asked by allison on October 8, 2008
20. ## Calculus

How do you integrate [(x^2)(cos(2(x^3)))]? I tried to integrate by parts but I'm going in circles yet again...

asked by Hannah on February 13, 2009
21. ## Calculus AB

asked by JAE92 on June 5, 2011
22. ## Math

Find the greatest value of a,so that integrate [x*root{(a^2-x^2)/(a^2+x^2)} ] from 0-a

asked by Shenaya on August 1, 2017
23. ## [Calculus] U-substitution for Integrals

Integrate from 1 to 5 of (3x-5)^5 dx = Integrate from a to b of f(u) du where (I have solved this part) u = 3x-5 du = 3 a = 0 b = 12 The original value of the integral is 165888 via calculator here's my last question, and it has to be in terms of u: f(u) =

asked by Ian on February 23, 2015
24. ## calculus

1) Integrate (e^x+x)^2(e^x+1) dx 2) Integrate xe^x2 dx Let u=(e^x+x) du=(e^x +1) dx I will be happy to critique your work or thinking. You are posting work for me to do, and I am not inclined to do that, it will not help you for me to do it. I think I gave

asked by Febby on April 13, 2007

what do you get when you: integrate 10sin^4xcosx dx when you integrate 9x^2e^6x^3 dx

26. ## calc

asked by Anonymous on January 19, 2015
27. ## Calculus Indefinite Intergral

I need help with integrating these two problems. Im stuck. 1. integrate (sin^-1)dx/((1-x^2)^3/2) sin^-1 aka arcsin 2. integrate dx/((1-x^2)^3/2) by using 1/z Any and all help will be appreciated!

asked by John on April 22, 2015
28. ## Calc

Calculate the area bounded by the x-axis and the function f(x)= -(x-a)(x-b), where a

asked by Tezuka on November 27, 2006
29. ## Calculus

integrate t*(t^2 - 1)^(1/3) dt over (0,3) I substitute u = t^2 - 1 du = 2t dt which leads to integrate (1/2) u^(1/3) du over(-1,8) = (3/8) * u^(4/3) over (-1/8) = 3/8 * [8^(4/3) - (-1)^(4/3)] I would guess that (-1)^(4/3) is +1, since the cube root of -1

asked by Sean on February 5, 2011
30. ## math, calculus 2

Consider the area between the graphs x+y=16 and x+4= (y^2). This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals integrate from a to b of f(x)dx + integrate from b to c of g(x)dx What is

asked by bobby on September 12, 2012
31. ## calculus-integration

integrate -2/xln^4(x)...plz help me..give me an idea on how to start..plz The derivative of the ln(x) function is 1/x and this is multiplying the ln^4(x). You can thus write the integral as: -2 * 1/5 ln^5(x) + constant. is that the answer? wut about the x

asked by Maria on May 7, 2007
32. ## Calculus HELP plz

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=4x^1/2,y=5,2y+1x=5 Do you really mean "2y+1x=5" ? It is not customary to use the coefficient 1 in front of a variable.

asked by jimmy on May 5, 2007
33. ## Calc

Problems, once again. 1. Compute the average value of: f(x} = x/(x+3) over the interval [-a,a] 2. Find the area of the region bounded by the graph of: y = 2√(x^2 + 1) X axis Y axis Line x = 1 On the first, integrate, then divide the integral by 2a. On

asked by Tezuka on March 17, 2007
34. ## Calculus

Which of the following choices will most easily evaluate integral of [L(x)]/P(x) dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function b) Integrate the logarithmic

asked by Alice on April 11, 2019
35. ## Calculus

Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the

asked by Alice on March 22, 2019
36. ## college calculus

how do you integrate sqrt( x^2 - (x^2)(e^(-2x)) )?

asked by matt on March 11, 2008
37. ## Calculus

integrate: (x^2-3)sqrt (x+5)

asked by Ashley on December 14, 2011
38. ## math

Integrate: y/sqrt(2y+1) dx

asked by mathstudent on September 15, 2007
39. ## Calculus

Integrate sqrt(16+x^2) dx

asked by Dhrupal Patel on February 21, 2017
40. ## Calculus

Integrate x^2/(sqrt(x^2-25)dx

asked by Dhrupal Patel on February 21, 2017
41. ## Calc II

Integrate 3/(Sqrt x^2-16) dx

asked by Scott on June 26, 2010
42. ## Integration

Integrate: ∫ x^2(x^2+1)sqrt(4-2x^3-x^4) dx

asked by Bob on April 11, 2015
43. ## maths

integrate by parts integrate (4+x^2)^1/2

asked by laura on December 29, 2012
44. ## maths

integrate by parts integrate (4+x^2)^1/2

asked by Jess on December 29, 2012
45. ## Calculus AB

I had to integrate [(x^2+1)/(x^2-x)]dx with partial fractions. My answer was 2ln abs(x-1) -ln abs(x)+C. But the answer on the answer sheet has an extra +x that I did not account for. Is that a typo or did I integrate incorrectly?

asked by JAE92 on June 6, 2011
46. ## Calculus

dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or

asked by Jamie on June 16, 2014
47. ## College Calc 1

Find the area bounded by the parabola y^2=4x and the line y=2x-4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to

asked by Ashton on December 15, 2010
48. ## math

Find the area bounded by the parabola y^2=4x and the line y=2x-4. Use vertical representative rectangles (integrate with respect to x) and horizontal representative rectangles (integrate with respect to y). the answer is 9 square units ... i just need to

asked by ashton on December 15, 2010
49. ## Calculus

integrate (27x -9x^2)/sqrt(x^3 +9)

asked by Jackie on February 20, 2012
50. ## Integration of exponents with absolute values

I cannot for the life of me figure this out. Please help me. How do I integrate the function f(x) = 0.1 * e ^ (-0.2 * |x|) from neg. Infinity to pos. Infinity? I seem to only be able to get 0, but the answer is 1. I think it is the |x| that is throwing me

asked by Tyler on January 24, 2007
51. ## calculus 2

integrate x^5/(x^2 + sqrt(2)) using a table of integrals

asked by Dana on March 30, 2011
52. ## math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=5x , y=3 and 2y+1x=6 It is easier to integrate with respect to the variable Area = Help!!!!

asked by kitor on January 25, 2014
53. ## Calculus

How do I integrate sqrt of (1+e^(2x)) if doing u-sub.. u=sqrt of (1+e^(2x)) and ten using partial fraction...?

asked by Sanaya on December 6, 2015
54. ## Integrating Factors

I've been working on this hw problem for a while now, but I'm stuck in the integration process. I'm pretty sure I made an error, cause I can't seem to be able to integrate the right side of the equation. Q: (1/(x^(2)+1))y' + xy = 3 using the equation

asked by Student on January 20, 2014
55. ## Calculus - Integrating

Question: ∫(x^2)/sqrt(x^2+1) u=x^2+1 , x^2= u-1, du=2xdx ∫(u-1)/sqrt(u) , expand ∫u/sqrt(u) - 1/sqrt(u) Integrate: 2/3(u^(3/2)) - 2u^(1/2) + c My answer: [ 2/3(x^2+1)^(3/2) - 2(x^2+1) + c ] When I took the derivative of this to check my answer, it

asked by Liam on March 20, 2017
56. ## Calculus

How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.

asked by Sean on February 14, 2008
57. ## Calc ..basic integration

I forgto how to integrate...its been to long. integration(Sqrt(1+2t^2+t^4))

asked by mm on February 18, 2010
58. ## Calculus

How would I integrate (4dt)/(sqrt(15-2t-t^2)) That thing has me stumped.

asked by Sean on February 13, 2008
59. ## 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
60. ## calculus plz help me

integrate:dx/((x-1)sqrt(x^2-2) plz show solution i plead

asked by samuel on May 5, 2016
61. ## Calculus

Integrate: Indefinite integral of [(sqrt(x))-1]^2 / [sqrt(x)] dx

asked by Anonymous on February 12, 2015
62. ## Calculus

Integrate sqrt(x^2 + x) dx I have completed the squares and got x^2-x = (x+1/2)^2 -1/4 Now i don't know how to proceed, plz help me!

asked by Jamie on October 5, 2014
63. ## Math

dz =(−sinx + 2xy^2)dx +(2x^2 y)dy Integrate the differential to find the function z. Would I say that z was equal to two separate differentials and integrate the first part of the function with respect to x and the second part with respect to y? z = cosx

asked by Clare on May 17, 2009
64. ## Calc

Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi I set my calculator to graph on the x-axis as a 2pi scale. The two functions appear to cross three times between x = 0 and 2pi. (including 2pi) Now,

asked by Sarah on April 21, 2007
65. ## Math/Calculus #2

Integrate: 1/(x-sqrt(x+2) dx I came up with: (2/3)(2*ln((sqrt(x+2))-2)+ln((sqrt(x+2))-1)) but it keeps coming back the wrong answer even though I integrated correctly. Is there a way to simplify this answer, and if so, how? I found: Ln[x-sqrt(x+2)] +

asked by COFFEE on May 27, 2007
66. ## calculus help me plz

integrate:dx/((x-1)sqrt(x^2-2) a tutor here direct me to a page but i do not know how to use it i tried but it did not show me any step...i need help plz

asked by samuel!!!! on May 5, 2016
67. ## Calculus

Integrate dx/(sqrt(x^2+16)). I have no idea how to start and which method to use. Thinking some sort of trig substitution? But it doesn't look like it. Step by step? Answer key says ln|x+ sqrt(x^2+16)|.

asked by Cindy on March 5, 2016
68. ## Calculus

Find the integral, using the method of substitution where necessary. 63. integrate x^2*Sqrt[x+1] dx What I have done: I have set the (x+1) = u but I feel this is the wrong way to do this problem.

asked by Molly on December 9, 2007
69. ## math, calculus 2

Consider the function f(x)=-((x^2)/2)-9. In this problem you will calculate integrate from 0 to 3 of ((-x^2)/2)-9)dx by using the definition integrate from a to b of (f(x))dx= lim as n approaches infinity of sum_(i=1)^n of (f(x_i))(delta x) The summation

asked by bobby on August 29, 2012
70. ## Algebra

In my Algebra class I am working with rational expression. I know it is important to understand the differnce between a factor and a term of an expression. Can someone give me the definition for both and explain to me the difference between the two?

asked by jessica on June 13, 2007
71. ## college calculus

evaulate an intergral for length of curve with y=(sqrt(4-x^2)) and 0

asked by andrew on March 10, 2008
72. ## Calculus help plz

Integrate:cosmxcosnx.dx if m=n i can not solve it i have tried my best but to no avail

asked by Collins on January 4, 2016
73. ## Math

Solve it showing detail steps..please. Integrate : ∫(cos^3 x)^2 ⁡dx

asked by Wawen on August 29, 2016
74. ## physics (mechanics)

Practice problem: A rocket sled for testing equipment under large accelerations starts at rest and accelerates according to the expression: a= (2.8 m/s^3)t + (3.9 m/s^2) How far does the rocket move in the time interval t=0 to t=0.81 s? This is just a

asked by John on August 28, 2010
75. ## Calc

How do you solve ∫sin(3x+4)dx? I got the -cos(3x+4) part, but do you have to integrate the 3x+4 too? Does chain rule apply?

asked by Erica on January 2, 2011
76. ## calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region. 2y=3 sqrt x,y=3 and 2y+1x=4

asked by webworks on April 24, 2015
77. ## calculus

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area S of the region. y=sqrt(x) , y=1/2 x , x=25

asked by ken on January 30, 2009
78. ## 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
79. ## Calculus

Right now my class is working on exponential growth and decay. I know that i have to find the integral of both sides and solve for Y but I don't know how to do so exactly. Here's the problem: if dy/dx=3Y(10-Y) integrate to solve for Y

asked by Crystal on February 11, 2008
80. ## 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
81. ## math

integrate sqrt(2((sin(x))^2 + 50((cos(x))^2 - 10sin(x)cos(x))

asked by pandu on February 16, 2016
82. ## Calculus

Could someone explain how do we verify stokes theorem for the vector field F=zi + (2x+z)j + xk taken over the triangular surface S in the plane (x/1)+(y/2)+(z/3)=1 bounded by the planes x=0 y=0 and z=0. Take boundary of the above triangular surface as the

asked by Aryaa on November 23, 2019
83. ## calculus - power series ASAP please :)

using power series, integrate & evaluate to 4 dec. places integral from 0 to 1: sin x^2 dx i'm REALLY stuck on this. and i need help asap.. what is the inverse of "sin x^2" so that i could have it in a fraction that will fit the power series equation? and

asked by COFFEE on July 31, 2007
84. ## Calc 2

The figure shows a semicircle with radius 1, horizontal diameter PQ, and tangent lines at P and Q. At what height above the diameter should the horizontal line be placed so as to minimize the shaded area? I would post the figure but the website is not

asked by gabby on March 28, 2016
85. ## Mathematics

Solve the following differential equation, i.e. solve for y: dy/dx - y/x = 1/x + y + 1 I have this so far, 1. dy/dx= (y + 1 + xy + x)/x 2. x dy = (y + 1 + xy + x)dx 3. Integrate both sides... xy + c = xy + x + .5x^2y + .5x^2 + k where c and k are constants

asked by xX_Supaman_Xx on December 29, 2007
86. ## Math/Calculus

Solve the differential equation y'=3t^2+4. Solve the initial value problem y(0)=3. Separation of variables! My work: dy/dt= 3t^2+4 dy= 3t^2+4 dt Then you integrate both sides. ∫ dy= ∫ 3t^2+4dt Question: is there a 1 in dy? ( ∫ 1dy)? If so:

asked by Sarah on April 2, 2015

Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inversely proportional to y^4" So dy/dx=k/y^4 (y^4)dy=(k)dx Integrate y^5/5=kx+C Is this the final answer or is there more?

asked by Anonymous on April 11, 2018
88. ## Calculus

How do you integrate e^(-t/r)?

asked by Sanaya on November 22, 2015
89. ## Calculus

How do you integrate e^(-t/r) dt?

asked by Sanaya on November 22, 2015
90. ## Calculus

How do you integrate 3∫(1)/(x²+1)² dx ? Thank you!

asked by Erica on October 19, 2011
91. ## calc

Integrate 2(x^2)e^g(x) where g(x)=4^(x^3)

asked by Sunny on May 1, 2013
92. ## Calculus

How do you integrate: 1/(x^2-1) dx ?

asked by Kyle on January 9, 2013
93. ## calculus

integrate the following (3y-7x-3)dx+(7y-3x-7)dy=0

asked by waqas on January 3, 2013
94. ## math

how do you integrate dx/(x^2*(x^2+4)^1/2)?

asked by Lauren on February 15, 2009
95. ## Calculus

Integrate: x/(9+x^4)dx

asked by Bella on January 22, 2013
96. ## calculus

integrate (e^t + e^-t)²

asked by ligas on November 27, 2015
97. ## math

integrate: (x^2 + 1)^k dx

asked by mathstudent on November 7, 2007
98. ## Calculus

Integrate the following (x^5 - 2)dx

asked by Taylor on February 10, 2012
99. ## calc

integrate (x-2) / (x+1)^2 +4 dx

asked by tom on November 30, 2018
100. ## calculus

integrate (e^t + e^-t)²

asked by ligas on November 27, 2015