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Definite Integration question

2022 · 26 Jul · Shift 1 · Q42

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PYQ Library
JEE Main
Mathematics
Definite Integration
2022 · 26 Jul · Shift 1 · Q42

Definite Integration question

2022 · 26 Jul · Shift 1 · Q42

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

If

\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} x

, then

\mathrm{n} \in \mathbf{N}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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