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sin x sin2x sin3x sin4x...

sin x sin2x sin3x sin4x

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

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int(sin2x sin3x sin4x)dx

The number of solutions of the equation sinx. Sin2x.sin3x. Sin4x.sin5x=0 in [0,pi] is equal to