JEE Main & Advanced
Mathematics
Indefinite Integrals
Question Bank
Mock Test - Integrals
question_answer
\[{{I}_{n}}=\int\limits_{0}^{\pi /4}{{{\tan }^{n}}x\,dx,}\] then \[\underset{n\to \infty }{\mathop{\lim }}\,n\,[{{I}_{n}}+{{I}_{n+2}}]\]dx is equal to _______.