Doing the following integral

  • #1
I haven't done basic integrals for awhile...but just wondering how you would integrate the following functions without looking it up in the integral table.

(x^2+a^2)^(-3/2) where a is a constant.

Thanks!
 

Answers and Replies

  • #2
dextercioby
Science Advisor
Homework Helper
Insights Author
13,047
595
Make the substitution [itex] x=a\sinh t [/itex] and then see what you get.
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,833
963
The substitution [itex]x= atan(\theta)[/itex] will also work.
 

Related Threads on Doing the following integral

  • Last Post
Replies
3
Views
598
Replies
1
Views
3K
Replies
4
Views
1K
Replies
4
Views
1K
  • Last Post
Replies
7
Views
1K
  • Last Post
Replies
2
Views
2K
Replies
4
Views
1K
Replies
1
Views
1K
Replies
2
Views
1K
Replies
5
Views
2K
Top