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Beliebt Rechnen >

integral of (16x+3)sqrt(8x^2+3x)

Lösung

\int (16 x + 3) 8 x^{2} + 3 x d x

Lösung

\frac{2}{3} (8 x^{2} + 3 x)^{\frac{3}{2}} + C

Schritte zur Lösung

\int (16 x + 3) 8 x^{2} + 3 x d x

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

= \frac{2}{3} u^{\frac{3}{2}}

Setze in

u = 8 x^{2} + 3 x

ein

= \frac{2}{3} (8 x^{2} + 3 x)^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} (8 x^{2} + 3 x)^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

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

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t an g e n t y = \frac{5 x}{1 + x ^{2}}, (4, \frac{20}{17})

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\int \frac{7 - 98 x}{81 - 49 x ^{2}} d x

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