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Beispiel 14 - 116

$\int sin x \cdot cos x d x$ .

u = sin x

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\frac{d u}{d x} = cos x

d x = \frac{d u}{cos x}

$\int u \cdot cos x \frac{d u}{cos x} = \int u d u = \frac{1}{2} u^{2} + C = \frac{1}{2} {sin}^{2} x + C$ .
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