integral from 0 to pi of cos(x)x

Lösung

\int_{0}^{π} cos (x) x d x

- 2

Schritte zur Lösung

\int_{0}^{π} cos (x) x d x

Wende die partielle Integration an

= [x sin (x) - \int sin (x) d x]_{0}^{π}

\int sin (x) d x = - cos (x)

= [x sin (x) - (- cos (x))]_{0}^{π}

Vereinfache

= [x sin (x) + cos (x)]_{0}^{π}

Berechne die Grenzen:

- 2

= - 2

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