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Beliebt Rechnen >

integral from 1 to 5 of x^4ln(5x)

Lösung

\int_{1}^{5} x^{4} ln (5 x) d x

Lösung

- \frac{3124}{25} + \frac{6249}{5} ln (5)

+1

Dezimale

1886.51550 \dots

Schritte zur Lösung

\int_{1}^{5} x^{4} ln (5 x) d x

Wende die partielle Integration an

= [\frac{1}{5} x^{5} ln (5 x) - \int \frac{x ^{4}}{5} d x]_{1}^{5}

\int \frac{x ^{4}}{5} d x = \frac{x ^{5}}{25}

= [\frac{1}{5} x^{5} ln (5 x) - \frac{x ^{5}}{25}]_{1}^{5}

Berechne die Grenzen:

- \frac{3124}{25} + \frac{6249}{5} ln (5)

= - \frac{3124}{25} + \frac{6249}{5} ln (5)

Graph

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