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

Most Viewed Questions

Related Chapters

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions