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Beliebt Rechnen >

integral of 4/(\sqrt[3]{x)}-5\sqrt[3]{x^2}

Lösung

\int \frac{4}{3 x} - 5 3 x^{2} d x

Lösung

6 x^{\frac{2}{3}} - 3 x^{\frac{5}{3}} + C

Schritte zur Lösung

\int \frac{4}{3 x} - 5 3 x^{2} 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{4}{3 x} d x - \int 5 3 x^{2} d x

\int \frac{4}{3 x} d x = 6 x^{\frac{2}{3}}

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

= 6 x^{\frac{2}{3}} - 3 x^{\frac{5}{3}}

Füge eine Konstante zur Lösung hinzu

= 6 x^{\frac{2}{3}} - 3 x^{\frac{5}{3}} + C

Graph

Beliebte Beispiele

integral of (x^2+3x+1)^3(2x+3)

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

integral of 2/(tsqrt(4t^4-1))

\int \frac{2}{t 4 t ^{4} - 1} d t

integral of x^2(x^3-1)^7

\int x^{2} (x^{3} - 1)^{7} d x

integral of ((x-3)^2)/x

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

integral of x^{1/4}+5

\int x^{\frac{1}{4}} + 5 d x