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Beliebt Rechnen >

integral from 0 to pi/3 of 2+sin(3x)

Lösung

\int_{0}^{\frac{π}{3}} 2 + sin (3 x) d x

Lösung

\frac{2 π}{3} + \frac{2}{3}

+1

Dezimale

2.76106 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{3}} 2 + sin (3 x) 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}^{\frac{π}{3}} 2 d x + \int_{0}^{\frac{π}{3}} sin (3 x) d x

\int_{0}^{\frac{π}{3}} 2 d x = \frac{2 π}{3}

\int_{0}^{\frac{π}{3}} sin (3 x) d x = \frac{2}{3}

= \frac{2 π}{3} + \frac{2}{3}

Graph

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