For 0ltxlt(pi)/(2),int_(1/2)^(sqrt(3)/2)ln(e^(cos x))xxd(sin x) is equal to :

int_(0)^(pi//2) log((cos x)/(sin x)) dx is equal to

int_(0)^(pi//2) e^(sin)x cos xdx is equal to

int_(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4)))) is equal to

int_(0)^(pi//2)(dx)/(1+e^(sqrt(2)cos(x+(pi)/(4)))) is equal to

int _(0)^(pi//3) (cos x + sin x)/(sqrt(1+sin 2x))dx is equal to

If int_(log2)^(x) (1)/(sqrt(e^(x)-1))dx=(pi)/(6) then x is equal to

int_(0)^( pi/2)(sin8x log(cot x))/(cos2x)backslash dx is equal to

int_(0)^((pi)/(2))cos2x log sin xdx

Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=log2. Then the value of integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to (1)/(2)log2(b) is (pi)/(2)-log2(pi)/(4)-(1)/(2)log2(d)(pi)/(2)+log2