integral from 0 to 2 of 6e^x

Lösung

\int_{0}^{2} 6 e^{x} d x

6 (e^{2} - 1)

Dezimale

38.33433 \dots

Schritte zur Lösung

\int_{0}^{2} 6 e^{x} d x

Entferne die Konstante:

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

= 6 \cdot \int_{0}^{2} e^{x} d x

Nutze das gemeinsame Integral :

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

= 6 [e^{x}]_{0}^{2}

Berechne die Grenzen:

e^{2} - 1

= 6 (e^{2} - 1)

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