Find:
       \int e^{x}\left ( \cos x-\sin x \right )cosec^{2}x\, dx

 

 

 

 
 
 
 
 

Answers (1)

\int e^{x}\left ( \cos x-\sin x \right )cosec^{2}xdx=\int e^{x}\left ( cosec x \cot x-cosec x \right ) dx
\Rightarrow \int e^{x}\left ( -cosec\, x \right )+c
Note that \Rightarrow \int e^{x}\left [ f\left ( x \right )+{f}'\left ( {x}' \right ) \right ]dx= e^{x}\times f\left ( x \right )+c

Preparation Products

Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout BITSAT 2020

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 1999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions