int_(0)^( pi/2)log(sin^(3)x cos^(4)x)*dx=(-7 pi)/(2)log2

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

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

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

Prove that: int_(0)^( pi/2)log(sin^(3)x cos^(4)x)backslash dx=-(7 pi)/(2)log2

int_(0)^((pi)/(2))log(sin2x)dx

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

Show that int_(0)^((pi)/(2))log(sin2x)dx=-(pi)/(2)(log2)

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

int_(0)^( pi)cos2x*log(sin x)dx

Prove that, int_(0)^(pi)log(1+cos x)dx=-pi log2 , given int_(0)^((pi)/(2))log((sin x))dx=(pi)/(2)"log"(1)/(2) .