`int_(0)^( pi/2)sin^(2)(x)/(2)dx`

int_(0)^( pi)sin(2*x)dx

int_(0)^( pi/2)(sin^(2)x)/(sin^(2)x+cos^(2)x)dx

int_(0)^( pi/2)(sin x)*dx

The value of int_(0)^(pi//2)x|sin^(2)x-(1)/(2)|dx is equal to (api)/(b) where a,b are co-prime numbers, then a.b is ____________

If A=int_(0)^( pi)(cos x)/((x+2)^(2))dx, then int_(0)^( pi/2)(sin2x)/(x+1)dx is equal to

int_(0)^(pi//2)sin^(2)x dx =

int_(0)^(pi//2) sin^(2) x dx

int_(0)^( pi/2)sin^(2)x cos x dx

int_(0)^( pi/2)(1+sin x)^(1/2)dx

int_(0)^(pi/2) sin^(-1)(sin x)dx