Integrate Sin(x)Cos(x)dx.

Integral(Sin[x]Cos[x]dx) can be calculated. The method is to recognise that the trigonometric identity of 2Sin[x]Cos[x]=Sin[2x] can be applied. This would transform the integral into Integral(0.5Sin[2x]) which can of course be resolved to Cos[2x] + C.

DD

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