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Beliebt Rechnen >

integral of (5/(sqrt(t))+4e^t)

Lösung

\int (\frac{5}{t} + 4 e^{t}) d t

Lösung

10 t + 4 e^{t} + C

Schritte zur Lösung

\int \frac{5}{t} + 4 e^{t} 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 \frac{5}{t} d t + \int 4 e^{t} d t

\int \frac{5}{t} d t = 10 t

\int 4 e^{t} d t = 4 e^{t}

= 10 t + 4 e^{t}

Füge eine Konstante zur Lösung hinzu

= 10 t + 4 e^{t} + C

Graph

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