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Beliebt Rechnen >

integral from 1 to infinity of 1/(x^6)

Lösung

\int_{1}^{\infty} \frac{1}{x ^{6}} d x

Lösung

\frac{1}{5}

+1

Dezimale

0.2

Schritte zur Lösung

\int_{1}^{\infty} \frac{1}{x ^{6}} d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

= 0 - (- \frac{1}{5})

Vereinfache

= \frac{1}{5}

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