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

Lösung

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

- \frac{1}{x}

Schritte zur Lösung

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

Berechne das unbestimmte Integral:

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

Berechne die Grenzen:

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

= - \frac{1}{x} - 0

Vereinfache

= - \frac{1}{x}

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