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

Lösung

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

\frac{k}{2}

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

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

Vereinfache

= \frac{k}{2}

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