integral from 0 to pi of-4sin(x)

Lösung

\int_{0}^{π} - 4 sin (x) d x

- 8

Schritte zur Lösung

\int_{0}^{π} - 4 sin (x) d x

Entferne die Konstante:

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

= - 4 \cdot \int_{0}^{π} sin (x) d x

Nutze das gemeinsame Integral :

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

= - 4 [- cos (x)]_{0}^{π}

Berechne die Grenzen:

2

= - 4 \cdot 2

Vereinfache

= - 8

\int_{- 6}^{- 2} (- x + 3) d x

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