Home
Class 12
MATHS
Prove that : int0^(pi//2) log(sin^3xcos^...

Prove that : `int_0^(pi//2) log(sin^3xcos^4x)\ dx = -(7pi)/2 log2`

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that int_(-pi//4)^(pi//4) log(sinx + cosx)\ dx = -pi/4\ log2.

Show that int_(0)^(pi//2) log (sin 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

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)sin^(4)xcos^(5)x dx=

Prove that int_(0)^(pi//2)(2logsinx-logsin2x)dx=(pi)/(2)(log2) .

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

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

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

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