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

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`int_(0)^(pi//2)sin^(4)x cos^(6)x dx=` `int_(0)^(pi//2)sin^(4)x cos^(6)x dx=`
Math Fun: Integral Math Fun: Integral
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