I derived
The integrand can be decomposed by partial fractions:
I have an arc-length problem that has a complicated integral. The problem is: find the length of the curve y=ln(x^2-1) from x=2 to 3.
I found the derivative and squared it, which gave (4x^2)/(x^4-2x^2-1). Then I plugged it into the formula, simplified it until I got the integral of [(x^2+1)^2]/[(x^2-1)^2] from 2 to 3. How do I solve this integral? I know how to set up the integral and simplify it to that point, but I can't get past that point. Any help? Thanks.