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Beliebt Rechnen >

fläche y=(x^3+1)^{-1},x=0,x=1

Lösung

fläche

y = (x^{3} + 1)^{- 1}, x = 0, x = 1

Lösung

\frac{1}{3} ln (2) + \frac{π}{3 3}

+1

Dezimale

0.83564 \dots

Schritte zur Lösung

Wenden Sie die Flächenformel an:

\int_{0}^{1} \frac{1}{∣ x ^{3} + 1 ∣} d x

Löse

\int_{0}^{1} \frac{1}{∣ x ^{3} + 1 ∣} d x : \frac{1}{3} ln (2) + \frac{π}{3 3}

Die Fläche ist:

= \frac{1}{3} ln (2) + \frac{π}{3 3}

Graph

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