Hello,

I just had a quiz and I did not know how to do this question even though it looked so familiar.

Is the improper integral, from 0 to infinity,

tarctan(t)/(1+t^2)^2

convergent or divergent?

I tried using comparison theorem but it didn't work out.

And then I just tried solving the integral by substitution as in u=arctan(t) and du=1/1+t^2 dt but it didn't cancel out!

Please help! Thanks in advance!