integral from 0 to pi of 3sin(θ)

Lösung

\int_{0}^{π} 3 sin (θ) d θ

6

Schritte zur Lösung

\int_{0}^{π} 3 sin (θ) d θ

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{π} sin (θ) d θ

Nutze das gemeinsame Integral :

\int sin (θ) d θ = - cos (θ)

= 3 [- cos (θ)]_{0}^{π}

Berechne die Grenzen:

2

= 3 \cdot 2

Vereinfache

= 6

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