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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 _______.

    Answer:

    1


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