integral from 0 to a of 5e^x

Lösung

\int_{0}^{a} 5 e^{x} d x

5 (e^{a} - 1)

Schritte zur Lösung

\int_{0}^{a} 5 e^{x} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{0}^{a} e^{x} d x

Nutze das gemeinsame Integral :

\int e^{x} d x = e^{x}

= 5 [e^{x}]_{0}^{a}

Berechne die Grenzen:

e^{a} - 1

= 5 (e^{a} - 1)

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