`int_0^(pi/2) sin^5xcos^7xdx`

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int_0^(pi/2) sin^2xcos^2xdx

int_0^(pi/2) sin^2xcos^3xdx

int_(0)^( pi/2)sin^2xcos xdx

int_0^(pi/2) cos^5xdx

int_0^(pi/2)sin^2xdx =

int_(0)^(-pi//2)sin^(5)xcos^(4)xdx

Evaluate: int_0^(pi/2)sin^4xdx

int_(0)^(pi//2) sin^(4)xcos^(3)dx is equal to :

Prove that int_0^pi x sin^6xcos^4xdx=pi/2 int_0^pi sin^6xcos^4xdx