LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Mathematics by (30 points)
(vii) \( \int_{0}^{\frac{\pi}{2}} \sin ^{3} \theta \cos ^{5} \theta d \theta \)

Please log in or register to answer this question.

1 Answer

0 votes
by (23.6k points)

\(\int_0^\frac{\pi}{2} sin^3\theta\,cos^5\theta\,{d}\theta\)



\(\frac{1!2!}{2\times 4!}\)

(∵ \(\Gamma\)(n+1) = n!, n ∈ N)



\(\int_0^\frac{\pi}{2} sin^3\theta\,cos^5\theta\,{d}\theta\) = \(\frac{1}{24}\) 

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.