Home
Class 12
MATHS
int0 ^(pi/2) log sinx dx = int0 ^(pi/2) ...

`int_0 ^(pi/2) log sinx dx = int_0 ^(pi/2) log cosx dx = 1/2 (pi) log(1/2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

int_(0)^(pi) x log sinx dx

int_(0)^(pi) x log sinx\ dx

int_(0)^(pi) x log sinx\ dx

Prove that: int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2

Prove that: int_(0)^(pi//2) log (sin x) dx =int_(0)^(pi//2) log (cos x) dx =(-pi)/(2) log 2

int_0^(pi//2) log(tan x)dx =

int _(0)^(pi/2) log(cotx)dx

int_(0)^(pi//2) log (cotx ) dx=

int_(0)^(pi//2) log (cotx ) dx=

int_(0)^((pi)/(2))log sin xdx=int_(0)^((pi)/(2))log cos xdx=(1)/(2)(pi)log((1)/(2))