int sin x cos x dx=int sinx d(sin x)=(si...

`int sin x cos x dx=int sinx d(sin x)=(sin^2x)/2+C_1 and int sin xcos x dx=-int cos x d(cos x)= (-cos^2 x)/2+ C_2` where `C_1 and C_2` are constants. Explain the double answer of the same integral.

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The correct Answer is:

`1/2`

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