448 Answered Questions for the topic integral calculus

Integral Calculus Math Antiderivatives

11/14/15

Find f when f"(x) = x^-2, x > 0, f(1) = 0, f(2)
Find f when f"(x) = x^-2, x > 0, f(1) = 0, f(2)   I know I need to find the antiderivative twice but my answer is no where near what's in the book (see below for answer).     ANSWER:... more
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Integral Calculus

09/08/15

find the volume v of the solid obtained by rotating the region bounded by y=3/x, x=2, x=6, y=0 about the x-axis
Involves disc method, washer method, etc.
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Integral Calculus Area Integral Integration

06/29/15

Area bounded by two curves
What is the area of the region bounded by the curves y=2(x^2)-7 and y=2/x between x=1 and x=3? Please and thank you!
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Integral Calculus

05/17/15

Hi, we were given an assignment in integral calculus that I can't solve. Any help would be greatly appreciated.
"Find the centroid of the plane region bounded by the parabola y^2 =4x, the y axis and the line y=4."
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04/20/15

Given the substitution, prove the integral is true
Given that u = Pi - x , prove that the integral from 0 to Pi of x*f(Sin(x)) dx is equal to (Pi/2) * the integral from 0 to Pi of f(Sin(x)) dx   I took the derivative of U and got du = 0-1dx,... more
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Integral Calculus

12/09/14

find f'(x) if f(x)=integral[2x,5x^2] sin(x^2+1)dx
top of integral is 5x^2 bottom is 2x
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Integral Calculus

11/28/14

A definite integral from -4 to sinx of (cos(t^4)+t) dt: , h'(x)=?
any help would be appreciated!
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Integral Calculus

11/28/14

A definite integral from 3 to x of ((1/3)t^2-1)^14 dt: , f'(x)=?
Please help its urgent
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Integral Calculus

11/28/14

A definite integral from 1 to x^2 of t^t dt: , f'(x)=? f'(3)= ?
Thanks for your help :)
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Integral Calculus

11/28/14

A definite integral from 0 to x of t^7 dt: , f'(x)=? f'(7)= ?
Appreciate the help
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Integral Calculus

10/27/14

integral of sin^m x cos ^n x dx, where m is 2014 and n is 2013?
I have two problems. The first is as stated above. The second is the same but with n = 2014 and m = 2013.I know how to do this for low m and n, such as m=5, n=4 and vice versa.But how the heck can... more
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Integral Calculus Calculus Integrals Volume

10/26/14

What is the volume of the solid bounded by z=0, x+2y=4, x=vz e y=vx?
triple integrals
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Integral Calculus Calculus Integrals Volume

10/22/14

What is the volume of the surface intercepted by x^2+y^2=1 , z=2-|x| , z=0 ?
triple integrals
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Integral Calculus

09/14/14

A chord of a unit circle creates a segment with an area of one. What is the length of the chord?
You have a circular cake with a radius of one foot. You intend to cut this cake with one straight slice to create a piece with an area of one square foot. What must the length of the cut be?  
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Integral Calculus

09/09/14

?sin2xcos6xdx
∫sin2xcos6xdx
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Integral Calculus Calcus

08/27/14

the function f(x)= integration of sqrt of (1-t^4)dt from 0 to x such that :
A)it is defined on interval[-1,1] (B)it is an increasing function (C) it is an odd function (D)the point (0,0) is point of inflection
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Integral Calculus

07/24/14

(x^2+1)/(x^4+4)
Determine this intergral by expanding it first
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Integral Calculus

05/03/14

what is the result of the integral of the following, the letter is q
∫ -2 dq              (cos-1q)√(1-q2) here the question is cos inverse of q and square root of one minus q squared, not 2qand the numerator is -2q dq.
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Integral Calculus

04/16/14

find the indefinite integral using a trigonometric identity to set up a u-substitution
∫sin4xcos5x dx
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Integral Calculus

03/20/14

How to solve (x+1)dx + e^y dy = 0 at points (0,1)
The question contails already all details
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Integral Calculus Calculus Integration

03/02/14

Let f(x) = integral from (-2) to (x^2-3x) of e^(t^2) dt. At what value of x is f(x) a minimum?
At what value of x is f(x) a minimum?   I know f'(x) = e^((x^2-3x)^2) , but I don't know how to continue.   Thanks!
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Integral Calculus

10/31/13

Very complicated integral
I'm looking for a solution to the following integral:int (1/sqrt[1 - x^2 + a (x^6 - x^12)]) dxwhere a is a parameter.Could you help me to find a solution? please!
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Integral Calculus Calculus Natural Log

10/22/13

Converge/Diverge?
If the integral test applies, use it to determine whether the series converges or diverges.  ∑ 1, ∞   (ln(n))2/n
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