∫ e^x≤ft(1-cot x+cot ^2 x) d x=

We have,

$I =\int e^x\left(1-\cot x+\cot ^2 x\right) d x=\int e^x\left(1+\cot ^2 x-\cot x\right) d x$

$\Rightarrow I =\int e^x\left(-\cot x+cosec^2 x\right) d x=-e^x \cot x+C$