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int(0)^(pi//2)sinx sin2x sin3x sin 4x dx...

`int_(0)^(pi//2)sinx sin2x sin3x sin 4x dx=`

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

int_0^(pi/2) sin x sin 2x dx

int_(0)^( pi/4)sin2x sin3xdx

int_(0)^(pi//2) (sinx )/(sin x + cos x ) dx=

int_(0)^( pi/4)sin2x*sin3xdx

int_0^(pi/2) e^(sinx).sin 2x dx =

" int sinx sin 2x (sin3x)dx

int_(0)^( pi/2)((sin x cos x) /(1+sin 4x ))dx

Evaluate the following : int_(0)^(pi//2)(sinx cos x)/((2sinx+1)(sin x+1))dx .