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