Why do I get two solutions by integrating sin(x)cos(x)?

Thread starter cstvlr
Start date Dec 4, 2010
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Integrating

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cstvlr

Thread starter
Dec 4, 2010

By setting u = sin(x), I got 1/2 (sin(x))^2
By setting u = cos(x), I got -1/2 (cos(x))^2

The two answers are not the same, why are there two solutions?

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Pengwuino

Gold Member

Dec 4, 2010

Cos(x)^2 and Sin(x)^2 are just a constant away from each other.

Why do I get two solutions by integrating sin(x)cos(x)?

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Why do I get two solutions by integrating sin(x)cos(x)?

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