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

Evaluate :int_(0)^(1)x(1-x)^(5)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)^(6)dx

evaluate int_(0)^(1)x^(2)(1-x)^(n)dx

Find the value of int_(0)^(1)x(1-x)^(n)dx

Evaluate: int_(0)^(1)(1-x)/(1+x)dx

Evaluate int_(0)^(1)(tx+1-x)^(n)dx , where n is a positive integer and t is a parameter independent of x . Hence , show that int_0^1 ​ x^k (1−x)^(n−k) dx= P/([.^nC_k(n+1)]) ​ for k=0,1,......n , then P=

Evaluate: int_(0)^(1)x^(3)(1-x)^(4) dx.

Evaluate int_(0)^(1)x^3(1-x)^3 dx .