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Definite Integration question

2024 · 5 Apr · Shift 2 · Q41

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PYQ Library
JEE Main
Mathematics
Definite Integration
2024 · 5 Apr · Shift 2 · Q41

Definite Integration question

2024 · 5 Apr · Shift 2 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

\beta(\mathrm{m}, \mathrm{n})=\int\limits_0^1 x^{\mathrm{m}-1}(1-x)^{\mathrm{n}-1} \mathrm{~d} x, \mathrm{~m}, \mathrm{n}\gt 0

. If

\int\limits_0^1\left(1-x^{10}\right)^{20} \mathrm{~d} x=\mathrm{a} \times \beta(\mathrm{b}, \mathrm{c})

, then

100(\mathrm{a}+\mathrm{b}+\mathrm{c})

equals

\underline{\hspace{2cm}}

.

A
2012
B
1021
C
1120
D
2120

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