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QJEEAdv06Ma04a9: JEE Advanced 2006 Mathematics - Class 12 JEEAdv06Ma04a9 Solution: The value of 5050 ∫ 0 1 ( 1 − x 50 ) 100 d x ∫ 0 1 ( 1 − x 50 ) …

The value of

5050 \frac{\int_{0}^{1} {(1 - x^{50})}^{100} d x}{\int_{0}^{1} {(1 - x^{50})}^{101} d x}

is.

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