! = integrate

I am trying to integrate the following:

! x/sqr(a^2-b^2*x^2) dx

Using partial fractions I get the following:

1/sqr(2b) ! sqr(x)/sqr(a+bx) dx - 1/sqr(2b) ! sqr(x)/sqr(a-bx) dx.

This doesn't seem to help at all so it has obviously come off the rails. Could someone be so kind as to show the correct workings?