JEE Main 202226 Jul, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If n(2n+1)∫01(1−xn)2ndx=1177∫01(1−xn)2n+1 dx\mathrm{n}(2 \mathrm{n}+1) \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}} \mathrm{d} x=1177 \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}+1} \mathrm{~d} xn(2n+1)∫01(1−xn)2ndx=1177∫01(1−xn)2n+1 dx, then n∈N\mathrm{n} \in \mathbf{N}n∈N is equal to ______________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
