Integrate : $\int \large\frac{\tan ^{-1} (e^x)}{1+(e^x)^2}.e^x\;dx$

Question

\[\begin {array} {1 1} (a)\;\tan ^{-1}(e^x)+c \\ (b)\;[\tan ^{-1}(e^x)]^2+c \\ (c)\;\frac{[\tan ^{-1}(e^x)]^2}{2}+c \\ (d)\;None \end {array}\]