Find the integral
I keep getting this question wrong. Can someone check my steps?
The Attempt at a Solution
I set it up as
A/(x+8) + (Bx+C)/(x^2+16)
So I did, A(x^2+16)+ (Bx+C)(x+8)
and I did that and got
By algebra, I solved for A, B, and C and got
So I got 1/10ln(x+8) - 1/10∫x/(x^2+16) + 4/5∫1/(x^2+16)
and solving that out, I get 1/10ln(x+8) -1/20ln(x^2+16) + 1/5arctan(x/4)
which is not correct.
Where did I go wrong?
Thanks in advance.