int_(0)^( pi/2)sin2k log t=nx cts-0

int_0^(pi/2)sin2x log(tanx)dx

int_(0)^(2 pi)[sin t]dt

Prove that int_(0)^((pi)/(2))sin2x log tan xdx=0

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

If= int_(0)^(pi//2) sin x . log (sin x ) dx = log ((K)/(e)). Then, the value of K is ….

If= int_(0)^(pi//2) sin x . log (sin x ) dx = log ((K)/(e)). Then, the value of K is ….

If int_(0)^(pi//2) sin theta log sin theta d theta = log K then K is equal to (e=2.71)

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

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

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