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Definite Integration question

2024 · 8 Apr · Shift 1 · Q32

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 8 Apr · Shift 1 · Q32

Definite Integration question

2024 · 8 Apr · Shift 1 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

k \in \mathbb{N}

for which the integral

I_n=\int_0^1\left(1-x^k\right)^n d x, n \in \mathbb{N}

, satisfies

147 I_{20}=148 I_{21}

is

A
8
B
14
C
7
D
10

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