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166 Answered Questions for the topic Integration

Integration

10/28/14

How do i know which part of the function i should integrate and which one to derivate when doing integration by parts?

As in, which one should i label as f(x) and which is g(x)? How should i think when i see a problem given?
Integration Calculus Integrals

10/22/14

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

triple integrals
Integration Math Help

09/18/14

How do you integrate 1/(x^2 + 25)^2?

I've been stuck on this question for a while. I've tried integration by parts but that doesn't help so I thought substitution would help but I don't know what to substitute it for.
Integration Calculus U Substitution

09/08/14

integrate using "reversed" substitution

Using the substitution x=(√3)tany find the exact value of1∫3 1/√(3+x^2) dxexpressing your answer as a single logarithm in terms of y
Integration

08/21/14

Integrate x/(x^2-5x+25)

When I substitute u=x^2-5x+25 I get du=2x-5 dx. That gets me close to x dx. I would normally just pull out 1/2, but I'm confused how to deal with the -5.  it looks like I should get a ln portion... more
Integration Calculus Pre Calculus

04/30/14

A curve is such that dy/dx= 6/x^2 and (2,9) is a point on the curve. Find the equation of the curve.

The slope of the curve has to be found by the dy/dx= 6/x^2. It will most likely end up as a y-y1=m(x-x1) formula at the end. 
Integration Volume By Integration

04/26/14

find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^7 about the y axis

find the volume of the solid formed by rotating the region enclosed by x=0, x=1, y=0, y=9+x^7 about the y axis
Integration

04/11/14

can someone help me integrate the following?

∫(secθ⁄cosθ) dθ

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!
Integration

01/15/14

integral of dx/root of c-k/x

∫dx/(c-k/x)1/2 
Integration Calculus

11/24/13

Find the interest earned on an interest-bearing account

Every month, a particular interest-bearing account earns 0.2 percent interest on the average balance for that month. The function B(t) =7.5t^2 -300t +5000 represents one investor's balance in this... more
Integration Integral

10/31/13

Why is the derivative of the answer to an integral equal to the primary function which we want to take integral of? I'm looking for the concept.

I'm in a hurry to find the answer. Please help me. Thanks so much
Integration Calculus Integral

10/16/13

Integration

∫√(4x2+40x)dx
Integration Calculus Substitution

09/15/13

I need help on integration problems

∫cos4 θ sin θ dθ
Integration

04/12/13

int(sec(x)+tan(x))dx

find integration by subtutitions.
Integration Calculus Integrals

03/23/13

How do you find the equation to an integral when the equation is not given but the answer to the integral is?

int; integral sign Find int (bottom: -3 top: -5.5) (8*f(x)-9)dx when int (bottom:-5.5 top:-3) f(x)dx = -2 Also; let int (bottom: -8 top: -0.5) f(x)dx =8 int (bottom: -8 top: -5.5) f(x)dx =... more
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