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Beliebt Rechnen >

integral from 1 to infinity of 1/(x^3)

Lösung

\int_{1}^{\infty} \frac{1}{x ^{3}} d x

Lösung

\frac{1}{2}

+1

Dezimale

0.5

Schritte zur Lösung

\int_{1}^{\infty} \frac{1}{x ^{3}} d x

Berechne das unbestimmte Integral:

\int \frac{1}{x ^{3}} d x = - \frac{1}{2 x ^{2}} + C

Berechne die Grenzen:

\int_{1}^{\infty} \frac{1}{x ^{3}} d x = 0 - (- \frac{1}{2})

= 0 - (- \frac{1}{2})

Vereinfache

= \frac{1}{2}

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