# Integral Substitution problem

#### htoor9

1. Homework Statement

Evaluate the integral.

Int((x+5)(x-5)^(1/3)dx

2. Homework Equations

3. The Attempt at a Solution

I've attempted the problem but subsitution doesn't seem to do anything, as du = dx if u = x-5, which doesn't cancel anything.

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#### Tom Mattson

Staff Emeritus
Gold Member
That's exactly the substitution you want to go with. If $u=x-5$ then $x=u+5$, which you can use in the other factor in the integrand.

#### htoor9

That's exactly the substitution you want to go with. If $u=x-5$ then $x=u+5$, which you can use in the other factor in the integrand.
So then what? I have integral of (u+10)(u)^(1/3) du.

#### Char. Limit

Gold Member
So then what? I have integral of (u+10)(u)^(1/3) du.
Expand the u^(1/3) into both terms. It should be easy to integrate then.

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