1. ## An Integral Problem

int.(lower bound of 0)(upper bound of 1) x/x^(2)+1 dx
Thanks.

2. note the integrand is almost (needs a constant) in the form $\frac{u'}{u}$ ...

what kind of function does integrating such a form lead to ?

3. ## Give this a shot

This is my first time answering any of these problems so I don't want to promise anything (I just joined), but try integration by substitution:

u = x^2+1
du = 2x dx ==> 1/2 du = x dx

pull out the 1/2 and get [1/2 * integral (du/u)]

This should simplify out to 1/2 ln(x^2+1)

Now just solve for the two bounds...

4. Originally Posted by nystudent2729
int.(lower bound of 0)(upper bound of 1) x/x^(2)+1 dx
Thanks.
let $u=x^{2}+1$
then
$du=2xdx$

Can you finish now?