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Beliebt Rechnen >

integral of (8x+e^x)sqrt(4x^2+e^x)

Lösung

\int (8 x + e^{x}) 4 x^{2} + e^{x} d x

Lösung

\frac{2}{3} (4 x^{2} + e^{x})^{\frac{3}{2}} + C

Schritte zur Lösung

\int (8 x + e^{x}) 4 x^{2} + e^{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 = 4 x^{2} + e^{x}

ein

= \frac{2}{3} (4 x^{2} + e^{x})^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} (4 x^{2} + e^{x})^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

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x \to 1 lim ((ln (x))^{x - 1})

(dy)/(dx)=9x^2-12x

\frac{d y}{d x} = 9 x^{2} - 12 x

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