Question

e^log(tanx) dx is equal to​

Answer 1

$\huge{\mathbb{\red{ANSWER:-}}}$

$\int[e^{log(tanx)}dx]$

$We \: know \: that-$

$e^{logx}= x$

$then ,$

$\int[tanx*dx]$

$\small\boxed{\int(tanx*dx)=log(secx) + C}$

$log(secx) + C$

$log(\frac{1}{Cosx}) + C$

$-log(Cosx) + C$

$where , \: C = constant$