Integrals using u substitution

  • #1

Homework Statement



Using substitution, find the integral of 32x2/(2x+1)3

Homework Equations





The Attempt at a Solution



I initially tried plugging u in for 32x2 but that wouldn't work because it won't cancel out with the problem below it anyway. I'm pretty sure we are not expected to multiply the bottom function out, so how would I go about doing this?
 

Answers and Replies

  • #2
328
0
use partial fractions
 
  • #3
Dick
Science Advisor
Homework Helper
26,263
619
Just use u=2x+1. You would have to do it anyway after partial fractions. So x=(u-1)/2. Then just expand the numerator.
 

Related Threads on Integrals using u substitution

  • Last Post
2
Replies
35
Views
3K
Replies
12
Views
1K
Replies
1
Views
1K
Replies
13
Views
16K
Replies
13
Views
5K
Replies
7
Views
3K
  • Last Post
Replies
12
Views
341
  • Last Post
Replies
1
Views
682
Replies
4
Views
1K
Replies
4
Views
9K
Top