I've got this problem:
I've used the partial fractions to split the integral into 2 separate parts, which becomes:
ln|t| + [indefinite integral](t/(t^2 + 1))dt + C
here I used the integration by parts for the bolded integral, which gives me:
ln|t| + t*arctan(t) + [definite integral](arctan(t))dt + C
and I cannot figure out what is the antiderivative of arctan(t) is?
thanks for the tips,