int_(0)^( pi)(x sin n)/(1+sin n)dx

int_(0)^( pi)(x sin x)/(1+sin x)dx

int_(0)^(pi)(x sin x)/(1-sin x)dx=

If n is an integer, then int_(0)^(pi)(sin 2nx)/(sin x)dx=

int_(0)^( pi)(x sin(x))/(1+sin(x))dx

Prove that: int_(0)^(2 pi)(x sin^(2n)x)/(sin^(2n)+cos^(2n)x)dx=pi^(2)

Evaluate the following integrals: (1-35)pi/2int_(0)^( pi/2)(sin^(n)x)/(sin^(n)+cos^(n)x)dx

For any n in N, int_(0)^(pi) (sin (2n+1)x)/(sinx)dx is equal to

For any n in N, int_(0)^(pi) (sin (2n+1)x)/(sinx)dx is equal to

If n=2m+1,m in N uu{0}, then int_(0)^((pi)/(2))(sin nx)/(sin x)dx is equal to (i)pi(ii)(pi)/(2)(iii)(pi)/(4) (iv) none of these