integral from 2 to infinity of e^{5-6x}

Lösung

\int_{2}^{\infty} e^{5 - 6 x} d x

\frac{1}{6 e ^{7}}

Dezimale

0.00015 \dots

Schritte zur Lösung

\int_{2}^{\infty} e^{5 - 6 x} d x

Berechne das unbestimmte Integral:

\int e^{5 - 6 x} d x = - \frac{1}{6} e^{5 - 6 x} + C

Berechne die Grenzen:

\int_{2}^{\infty} e^{5 - 6 x} d x = 0 - (- \frac{1}{6 e ^{7}})

= 0 - (- \frac{1}{6 e ^{7}})

Vereinfache

= \frac{1}{6 e ^{7}}

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