For the first problem, this is how far I get:
http://www.rustybubble.net/mathwork.jpg
(big image)
But for the second, I don't know how to set it up.
Thank you for your help!
in the first integral you have two mistake the first one to decide A ,B ,C values cuz
x^2(x-2)=a/x+b/x^2+c/(x-2)
ax(x-2)+b(x-2)+cx^2=1
Ax^2-2Ax+Bx-2B+Cx^2=1
A+c=0
B-2A=0
-2B=1
so
B=-1/2 , A=-1/4 , C=1/4
this is the first one the second
the integrate of 1/x^2=-x^-1 not ln(x^2)
thats all