(b)^(1)int_(0)^(1)x(1-x)^(n)dx

int_(0)^(1)(1-x^(3))^(n)dx=

Prove that int_(0)^(a) f(x) dx = int_(0)^(a) f(a - x)dx and hence evaluate the following: (d) int_(0)^(1)x(1 -x)^(n)dx .

Evaluate : (i) int_(0)^(1)x(1-x)^(n)dx (ii) int_(0)^(1)x(1-x)^(3//2)dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx

Evaluate : int_(0)^(1)x(1-x)^(n)dx

What is int_(0)^(1) x(1-x)^(n)dx equal to ?

Evaluate : int_(0)^(1)x(1-x)^(n)dx .

Evaluate int_(0)^(1)x(1-x)^(n)dx

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -