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

Lösung

\int_{0}^{π} (sin (x) - 4) d x

2 - 4 π

Dezimale

- 10.56637 \dots

Schritte zur Lösung

\int_{0}^{π} sin (x) - 4 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{π} sin (x) d x - \int_{0}^{π} 4 d x

\int_{0}^{π} sin (x) d x = 2

\int_{0}^{π} 4 d x = 4 π

= 2 - 4 π

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