# FIND THE INTEGRATION OF  elog(1+tan^2x) xdx ? AND ILLUSTRATE HOW IT WILL COME ?

$\hspace{-0.5cm}Let \bf{I = \int e^{\ln(1+\tan^2 x)}dx = \int (1+\tan^2 x)dx = \int \sec^2 xdx = \tan x+\mathcal{C}.}\\\\ Above we have use the formula \bullet\; \bf{e^{\ln (x)} = x.} \\\\$