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Beliebt Rechnen >

integral of-e^{4x-8}+1

Lösung

\int - e^{4 x - 8} + 1 d x

Lösung

- \frac{1}{4} e^{4 x - 8} + x + C

Schritte zur Lösung

\int - e^{4 x - 8} + 1 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 e^{4 x - 8} d x + \int 1 d x

\int e^{4 x - 8} d x = \frac{1}{4} e^{4 x - 8}

\int 1 d x = x

= - \frac{1}{4} e^{4 x - 8} + x

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{4} e^{4 x - 8} + x + C

Graph

Beliebte Beispiele

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\int sin (4 x + π) d x

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