Question

Antiderivative tan^2x/x^2+1

Answer 1

\[\int\limits_{}^{}\frac{ \tan^2x }{ x^2 + 1 } dx\]

Answer 2

This ?

Answer 3

or \[\int\limits_{}^{}\frac{ (\tan^{-1}x)^2 }{ x^2 + 1 } dx\]

Answer 4

for the second :

\[\int\limits_{}^{} (\tan^{-1}x)^2 dtan^{-1}x = \frac{ 1 }{ 3 }(\tan^{-1}x)^3 + c\]

Answer 5

for the first:

IDK.