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GR9768 Question 8

Posted: Wed Sep 16, 2009 7:51 pm
by kthompson
Well, it's been a long day and I'm blanking on how to start problem 8.
It asks one to integrate the following:
x/(1+x^2), bounded by [0,1].

I remember this being a tricky problem, where integration by parts can get ugly. Help?

Re: GR9768 Question 8

Posted: Wed Sep 16, 2009 9:40 pm
by mk
Isn't it just a simple substitution? Let u = 1+x^2, du = 2xdx will cancel the top and multiply by a constant. Then you're just integrating 1/u.

Re: GR9768 Question 8

Posted: Thu Sep 17, 2009 3:06 pm
by kthompson
Ha. I woke up this morning and looked over the problem... it took me about 5 minutes to figure it out! Oh what wonders a little sleep can do. Thanks for the response.

Re: GR9768 Question 8

Posted: Fri Sep 18, 2009 3:53 am
by Jefferythewind
beautiful