Tricky intergral

  • Thread starter Lee
  • Start date
  • #1
Lee
56
0
Which substituation would I need to use for this intergral;

[y.du/(y^2 + (x - u)^2)]
 

Answers and Replies

  • #2
Galileo
Science Advisor
Homework Helper
1,991
6
The integrand looks like [tex]1/(1+x^2)[/tex] which has antiderivative arctan(x). Try to make substitutions to match that expression.
 
  • #3
Lee
56
0
Got it, take the y out the intergral, make b=x-u then db=-du sub in and use the arctan intergral, getting -tan^-1((x-u)/y)
 

Related Threads on Tricky intergral

  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
5
Views
884
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
8
Views
942
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
11
Views
2K
Top