Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » Math Topics » alt.math.undergrad.independent

Topic: integration by substitution
Replies: 2   Last Post: Jun 7, 2012 7:53 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
GEIvey

Posts: 15
From: here
Registered: 6/5/12
Re: integration by substitution
Posted: Jun 5, 2012 8:14 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

You can separate x^3 into x^2(x) so your integral
int x^3(1- x^2)^(1/2)dx= int x^2(1- x^2)^(1/2)(xdx)

Now let u= 1-x^2 so that du= -2xdx and -(1/2)du= xdx. Also x^2= 1- u so your integral becomes int (1- u)u^(1/2)(-1/2)du= -(1/2)\int (u^(1/2)- u^(3/2))du.



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.