Evaluate: `5050(int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(101)dx)`

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

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

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

Evaluate: int_0^1x(1-x)^n dx

If I_(1)=int_(0)^(1)(1-x^(50))^(100)dx and I_(2)=int_(0)^(1)(1-x^(50))^(101)dx, If I_(2)=(alpha)/(beta)I_(1) ( alpha,beta are coprime) then beta-alpha

Find the value of (29int_(0)^(1)(1-x^(4))^(7)dx)/(4int_(0)^(1)(1-x^(4))^(6))dx

Evaluate int_0^1 (1/x)(1-x^3)^(-1/2) dx

Evaluate int_0^2 |1-x| dx

Evaluate: int_0^1 cot^-1(1-x+x^2)dx