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Integral Substitution problem

  • Thread starter htoor9
  • Start date
17
0
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.
 

Tom Mattson

Staff Emeritus
Science Advisor
Gold Member
5,475
20
That's exactly the substitution you want to go with. If [itex]u=x-5[/itex] then [itex]x=u+5[/itex], which you can use in the other factor in the integrand.
 
17
0
That's exactly the substitution you want to go with. If [itex]u=x-5[/itex] then [itex]x=u+5[/itex], 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
1,198
12
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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