int_(0)^( pi/2)sin^(-1)xdx

int_(0)^( pi)x sin^(-1)xdx

If int_(0)^(a)sqrt(x)dx=2a int_(0)^( pi/2)sin^(3)xdx find the value of integral int_(a)^(a+1)xdx

int_(0)^(pi//2)(sin^(2)xdx)/((1+cosx)^(2))= ………

Prove the following : 0 lt int_(0)^(pi//2)sin^(n+1)xdx lt int_(0)^(pi//2)sin^(2)xdx, n gt 1

Prove the following : 0 lt int_(0)^(pi//2)sin^(n+1)xdx lt int_(0)^(pi//2)sin^(2)xdx, n gt 1

If a, b,c are the values of int_(0)^(pi//2)sin^(6)xdx,int_(0)^(pi)sin^(6)xdx,int_(0)^(2pi)sin^(6)xdx then the ascending order of a, b, c is

int_(0)^(pi//2)sin^(2)xdx=?

A:int_(0)^(pi//2)sin^(7)xdx=(16)/(35) R:int_(0)^(pi//2)sin^(n)xdx=(n-1)/(n).(n-3)/(n-2).(n-5)/(n-4)..........(2)/(3).1 if n is odd.

int_(0)^(pi//2)sin^(7)xdx

int_(0)^(pi//2)sin^(9)xdx=