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Beliebt Rechnen >

integral of 9x^2+1/(sqrt(x^3))

Lösung

\int 9 x^{2} + \frac{1}{x ^{3}} d x

Lösung

3 x^{3} - \frac{2}{x} + C

Schritte zur Lösung

\int 9 x^{2} + \frac{1}{x ^{3}} 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 9 x^{2} d x + \int \frac{1}{x ^{3}} d x

\int 9 x^{2} d x = 3 x^{3}

\int \frac{1}{x ^{3}} d x = - \frac{2}{x}

= 3 x^{3} - \frac{2}{x}

Füge eine Konstante zur Lösung hinzu

= 3 x^{3} - \frac{2}{x} + C

Graph

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\int \frac{3 x + 2}{x ^{2} - 2 x + 10} d x

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\int e^{18 x} d x

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\int \frac{1}{h - 18} d h