integral from 8 to infinity of 2/(x^3)

Lösung

\int_{8}^{\infty} \frac{2}{x ^{3}} d x

\frac{1}{64}

Dezimale

0.015625

Schritte zur Lösung

\int_{8}^{\infty} \frac{2}{x ^{3}} d x

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

\int_{8}^{\infty} \frac{2}{x ^{3}} d x = 0 - (- \frac{1}{64})

= 0 - (- \frac{1}{64})

Vereinfache

= \frac{1}{64}

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