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Beliebt Rechnen >

integral from 6 to 12 of 6e^x

Lösung

\int_{6}^{12} 6 e^{x} d x

Lösung

6 (e^{12} - e^{6})

+1

Dezimale

974108.17575 \dots

Schritte zur Lösung

\int_{6}^{12} 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_{6}^{12} e^{x} d x

Nutze das gemeinsame Integral :

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

= 6 [e^{x}]_{6}^{12}

Berechne die Grenzen:

e^{12} - e^{6}

= 6 (e^{12} - e^{6})

Graph

Beliebte Beispiele

y^'=(e^{t-y})/(1+e^t)

y^{^{'}} = \frac{e ^{t - y}}{1 + e ^{t}}

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integral of x^2e^{-x/4}

\int x^{2} e^{- \frac{x}{4}} d x