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int0^pixsinxcos^2x dx...

`int_0^pixsinxcos^2x dx`

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Evaluate the following integral: int_0^pixsinxcos^4x\ dx

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STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dx . STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dx .

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dx . STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dx .

STATEMENT 1: int_0^pixsinxcos^2xdx=pi/2int_0^pisinxcos^2x dxdot STATEMENT 2: int_a^b xf(x)dx=(a+b)/2int_a^bf(x)dxdot

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int_0^pi (cos^2x)dx ,