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Beliebt Rechnen >

integral of (3/(2x^{1/2)}-2/(3x^{1/3)})

Lösung

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

Lösung

3 x^{\frac{1}{2}} - x^{\frac{2}{3}} + C

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

= 3 x^{\frac{1}{2}} - x^{\frac{2}{3}} + C

Graph

Beliebte Beispiele

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\frac{d}{d x} (\frac{2}{3} x^{\frac{3}{2}} + 1)

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\frac{d}{d x} (x^{3} - 3 x^{2} - 24 x + 32)

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\int (3 e^{x} + 5) d x

derivative of (8x^6-125b^9/(2x^2-5b^3))

\frac{d}{d x} (\frac{8 x ^{6} - 125 b ^{9}}{2 x ^{2} - 5 b ^{3}})