`int_(0)^( pi/4)(dx)/(1+sin x)`

int_(0)^( pi/4)(dx)/(1+cos x)

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

int_(0)^(pi//4)(dx)/((1+cos2x))

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

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

Prove that :int_(0)^(pi) (x)/(1 +sin^(2) x) dx =(pi^(2))/(2sqrt(2))

solve int_(0)^( pi/4)e^(x)(sin x+cos x)dx

If int_(0)^(pi)((x)/(1+sinx))^(2) dx=A, then the value for int_(0)^(pi)(2x^(2). cos^(2)x//2)/((1+ sin x^(2)))dx is equal to

If l=int_(0)^(pi//2)(cosx)/(1+sin^(2)x)dx , then (4)/(pi)l is _______.

Prove that : int_(0)^(pi) (x sin x)/(1+sinx) dx=pi((pi)/(2)-1)