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Beliebt Rechnen >

integral of (8sqrt(x)-3)

Lösung

\int (8 x - 3) d x

Lösung

\frac{16}{3} x^{\frac{3}{2}} - 3 x + C

Schritte zur Lösung

\int 8 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 8 x d x - \int 3 d x

\int 8 x d x = \frac{16}{3} x^{\frac{3}{2}}

\int 3 d x = 3 x

= \frac{16}{3} x^{\frac{3}{2}} - 3 x

Füge eine Konstante zur Lösung hinzu

= \frac{16}{3} x^{\frac{3}{2}} - 3 x + C

Graph

Beliebte Beispiele

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

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

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\int (ln (x) + sin (x) + 8) d x

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\int \frac{1}{15 + 2 x - x ^{2}} d x