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Beliebt Rechnen >

integral from 1 to 0 of 1/(x^2)

Lösung

\int_{1}^{0} \frac{1}{x ^{2}} d x

Lösung

divergiert

Schritte zur Lösung

\int_{1}^{0} \frac{1}{x ^{2}} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Wende die Potenzregel an

= - [- \frac{1}{x}]_{0}^{1}

Berechne die Grenzen:

divergiert

= divergiert

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