integral from 0 to b of 2e^x

Lösung

\int_{0}^{b} 2 e^{x} d x

2 (e^{b} - 1)

Schritte zur Lösung

\int_{0}^{b} 2 e^{x} d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{b} e^{x} d x

Nutze das gemeinsame Integral :

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

= 2 [e^{x}]_{0}^{b}

Berechne die Grenzen:

e^{b} - 1

= 2 (e^{b} - 1)

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