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Definite Integration question

2003 · Shift 0 · Q85

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PYQ Library
JEE Main
Mathematics
Definite Integration
2003 · Shift 0 · Q85

Definite Integration question

2003 · Shift 0 · Q85

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

I = \int\limits_0^1 {x{{\left( {1 - x} \right)}^n}dx}

is

A
${1 \over {n + 1}} + {1 \over {n + 2}}$
B
${1 \over {n + 1}}$
C
${1 \over {n + 2}}$
D
${1 \over {n + 1}} - {1 \over {n + 2}}$

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