4[tex]\int[/tex] 1/ ( x^3 *( 1 - x^2)) dx
Maybe integration by parts?
The Attempt at a Solution
This is actually a small fragment of a very large, long problem but, I cannot for the life of me think how to integrate this with there being a product, essentially, of (1/x^3) and (1/(1-x^2)), in the integrand.
I can see that, if I write the (1/(1-x^2)) like (1/(1+(-x^2))), I could sub the arctan trig identity. But, what about that pesky (1/x^3)?