integral from 1 to 2 of 3e^x

Lösung

\int_{1}^{2} 3 e^{x} d x

3 (e^{2} - e)

Dezimale

14.01232 \dots

Schritte zur Lösung

\int_{1}^{2} 3 e^{x} d x

Entferne die Konstante:

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

= 3 \cdot \int_{1}^{2} e^{x} d x

Nutze das gemeinsame Integral :

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

= 3 [e^{x}]_{1}^{2}

Berechne die Grenzen:

e^{2} - e

= 3 (e^{2} - e)

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