Integrating Intergration Problem: 1/x^3*sqrt(x^2-1)dx

[miller8605]

Homework Statement

i'm taking a defitinite integral from sqrt2 to 2 of the function 1/x^3*sqrt(x^2-1)dx.

Homework Equations

The Attempt at a Solution

I separated it into 1/x^3 and 1/sqrt(x^2-1). I have the second part using trig sub. as being inverse sec(x/1) dx. I believe i did this part correctly.

What I can't remember is that I make 1/x^3 to x^-3 and then integrate it that way with the final being -1/2(1/x^2)??

 

[rootX]

Why don't try the substitution u = x^2?