Can you help me solve this problem. calc 2 problem. I think im suppose to use trig substitution.......i think.

Question

∫ x/(x² +1)² dx

 

Limits equal ∞ on top and 1 on the bottom

Answer 1

If you let u=x²+1 then du=2xdx the the integrand is (1/2) du/u² and the limits are lower=2 upper is infinity.

Can you take it from here?

 

Jim