the value of 5050(int_(0)^(1)(1-x^(50))^(100dx)/(int_(0)^(1)(1-x^(50))^(101)dx) ||

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In the expansion of `(1+x)^50` the sum of the coefficients of odd poer 5 to x is (A) 0 (B) `2^50`

"Find the value of `(5050int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(100)dx)`"

If I1 = ∫(1 - x^50)^100 dx for x ∈ [0,1] and I2 = ∫(1 - x^50)^101dx for x∈ [0,1] such that I2 = α*I1

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The vlaue of `((5050)int_(0)^(1)(1-x^(50))^(100)dx)/(int_(0)^(1) (1-x^(50))^(100)dx)`, is

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