integral [ (x^3+4x^2-x+2)/(2x^4+5x^2+2) dx]

I tried solving it by using partial fractions, but answer my answer doesn't match the one in the back of the book.

I put it in the following format and attempted to solve for the constants.

(Ax+B)/(2x^2+1)+(Cx+D)/(x^2+2)