integral from 1/2 to infinity of 1/(x^3)

Lösung

\int_{\frac{1}{2}}^{\infty} \frac{1}{x ^{3}} d x

2

Schritte zur Lösung

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

= 0 - (- 2)

Vereinfache

= 2

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