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Beliebt Rechnen >

integral from-infinity to 0 of ze^{4z}

Lösung

\int_{- \infty}^{0} z e^{4 z} d z

Lösung

- \frac{1}{16}

+1

Dezimale

- 0.0625

Schritte zur Lösung

\int_{- \infty}^{0} z e^{4 z} d z

Berechne das unbestimmte Integral:

\int z e^{4 z} d z = \frac{1}{16} (e^{4 z} \cdot 4 z - e^{4 z}) + C

Berechne die Grenzen:

\int_{- \infty}^{0} z e^{4 z} d z = - \frac{1}{16} - 0

= - \frac{1}{16} - 0

Vereinfache

= - \frac{1}{16}

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