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Beliebt Rechnen >

integral of 1-5/3 x^{2/3}

Lösung

\int 1 - \frac{5}{3} x^{\frac{2}{3}} d x

Lösung

x - x^{\frac{5}{3}} + C

Schritte zur Lösung

\int 1 - \frac{5}{3} x^{\frac{2}{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 1 d x - \int \frac{5}{3} x^{\frac{2}{3}} d x

\int 1 d x = x

\int \frac{5}{3} x^{\frac{2}{3}} d x = x^{\frac{5}{3}}

= x - x^{\frac{5}{3}}

Füge eine Konstante zur Lösung hinzu

= x - x^{\frac{5}{3}} + C

Graph

Beliebte Beispiele

integral from 0 to pi/2 of sin(3x)

\int_{0}^{\frac{π}{2}} sin (3 x) d x

derivative of 3^{1/2}

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

integral of x+3

\int x + 3 d x

y^'=sin(x+y)+cos(x+y)

y^{^{'}} = sin (x + y) + cos (x + y)

integral of (x^2+2x)e^x

\int (x^{2} + 2 x) e^{x} d x