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Beliebt Rechnen >

integral from 0 to 27 of sqrt(3x)

Lösung

\int_{0}^{27} 3 x d x

Lösung

162

Schritte zur Lösung

\int_{0}^{27} 3 x d x

Wende Radikal Regel an:

n ab = n a n b,

angenommen

a \geq 0, b \geq 0

= \int_{0}^{27} 3 x d x

Entferne die Konstante:

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

= 3 \cdot \int_{0}^{27} x d x

Wende die Potenzregel an

= 3 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{27}

Berechne die Grenzen:

543

= 3 \cdot 543

Vereinfache

= 162

Graph

Beliebte Beispiele

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\int_{\frac{π}{2}}^{2 π} sin (x) d x

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\int_{50}^{100} \frac{x}{14 + 3 x ^{2}} d x

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\int_{2}^{4} 2 x + 3 d x

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