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?

## GR9768 Question 8

### Re: GR9768 Question 8

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

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.