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Calculus Level 3

Find 505001(1x50)100.dx01(1x50)101.dx 5050 \frac{ \int_{0}^{1} ( 1- x^{50})^{100}.dx}{ \int_{0}^{1} ( 1- x^{50})^{101}.dx}

Details - This problem was asked in IIT examination

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