integral from 0 to pi of pisin(x)

Lösung

\int_{0}^{π} π sin (x) d x

π 2

Dezimale

6.28318 \dots

Schritte zur Lösung

\int_{0}^{π} π sin (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{π} sin (x) d x

Nutze das gemeinsame Integral :

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

= π [- cos (x)]_{0}^{π}

Berechne die Grenzen:

2

= π 2

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