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Beliebt Rechnen >

fläche y=(x^2)/(x^3-3x),y= 1/(x^3-3x),2,21

Lösung

fläche

y = \frac{x ^{2}}{x ^{3} - 3 x}, y = \frac{1}{x ^{3} - 3 x}, 2, 21

Lösung

\frac{1}{2} ln (438) + \frac{1}{3} ln (21) - \frac{1}{3} ln (2) - \frac{1}{6} ln (21 + 3) + \frac{1}{6} ln (2 + 3) - \frac{1}{6} ln (21 - 3) + \frac{1}{6} ln (2 - 3)

+1

Dezimale

2.81119 \dots

Schritte zur Lösung

Wenden Sie die Flächenformel an:

\int_{2}^{21} \frac{x}{x ^{2} - 3} - \frac{1}{x ^{3} - 3 x} d x

Löse

\int_{2}^{21} \frac{x}{x ^{2} - 3} - \frac{1}{x ^{3} - 3 x} d x : \frac{1}{2} ln (438) + \frac{1}{3} ln (21) - \frac{1}{3} ln (2) - \frac{1}{6} ln (21 + 3) + \frac{1}{6} ln (2 + 3) - \frac{1}{6} ln (21 - 3) + \frac{1}{6} ln (2 - 3)

Die Fläche ist:

= \frac{1}{2} ln (438) + \frac{1}{3} ln (21) - \frac{1}{3} ln (2) - \frac{1}{6} ln (21 + 3) + \frac{1}{6} ln (2 + 3) - \frac{1}{6} ln (21 - 3) + \frac{1}{6} ln (2 - 3)

Graph

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