" (ii) "int_(0)^((pi)/(3))x cot xdx=(pi)/(2)log2

int_(0)^((pi)/(2))x cos xdx

int_(0)^(pi//2)x cot x dx=(pi)/(2)(log2)

int_(0)^((pi)/(2))cosxcos3xdx

Prove that : int_(0)^(pi//2) x . cot x dx =(pi)/(2)log 2

int_(0)^((pi)/(2))cos x cos3xdx

int_(0)^((pi)/(4))xcosxcos3xdx=(pi+2)/(16)

Statement-1: int_(0)^(pi//2) x cot x dx=(pi)/(2)log2 Statement-2: int_(0)^(pi//2) log sin x dx=-(pi)/(2)log2

Evaluate int_(0)^((pi)/(2))x cot xdx

int_(0)^( pi/2)sin^(3)x cos xdx=