int_(0)^(1)x(1-x)^(99)dx=

int_(0)^(1)x(1-x)^(4)dx=(1)/(30)

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

int_(0)^(a) x (1-x)^(5)dx=........

int_(0)^(1) x dx

int_(0)^(1) x dx

If int_(0)^(1)f(x)dx=1, int_(0)^(1)x f(x)dx=a and int_(0)^(1)x^(2)f(x)dx=a^(2) , then : int_(0)^(1)(a-x)^(2)f(x)dx=

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

int_(0)^(1)x sin(x-1)dx+int_(0)^(1)(1-x)sin xdx=

Evaluate I(b)=int_(0)^(1)(x^(b))dx=int_(0)^(1)(x^(b)-1)/("ln"x)dx,bge0 .