• Support PF! Buy your school textbooks, materials and every day products Here!

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
324
0
use partial fractions
 
  • #3
Dick
Science Advisor
Homework Helper
26,258
618
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 for: Integrals using u substitution

  • Last Post
Replies
1
Views
423
Replies
13
Views
5K
Replies
7
Views
2K
Replies
1
Views
846
Replies
12
Views
786
Replies
13
Views
15K
Replies
4
Views
1K
Replies
3
Views
963
Top