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Beliebt Rechnen >

integral of ((\sqrt[3]{t})^2-2)

Lösung

\int ((3 t)^{2} - 2) d t

Lösung

\frac{3}{5} t^{\frac{5}{3}} - 2 t + C

Schritte zur Lösung

\int (3 t)^{2} - 2 d t

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int (3 t)^{2} d t - \int 2 d t

\int (3 t)^{2} d t = \frac{3}{5} t^{\frac{5}{3}}

\int 2 d t = 2 t

= \frac{3}{5} t^{\frac{5}{3}} - 2 t

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of e^{8x-5}

\int e^{8 x - 5} d x

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

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

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\int \frac{6}{13} x^{\frac{13}{7}} + C d x

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\int \frac{1}{u - u ^{2}} d u