" 1.Find the value of "sin(pi+x)sin(pi-x)cosec^(2)x

The value of sin(pi+x).sin(pi-x)."cosec"^(2)x is

Evaluate sin (pi + x) sin (pi - x) cosec^(2)x

Find the value of int_0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

If f(x)=x+sin x, then find the value of int_(pi)^(2 pi)f^(-1)(x)dx

Find the value of int_(-1)^(2)|x sin pi x|dx

If cos x=-(sqrt(15))/(4) and (pi)/(2)

Prove that cos^(2)+x+cos^(2) (x+pi/3)+cos^(2)(x-pi/3)=3/2 and hence find the values of sin^(2)x +sin^(2) (x+pi/3)+sin^(2) (x-pi/3)

The value of int_(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is