integral from 1 to 2 of 9/(x^2)

Lösung

\int_{1}^{2} \frac{9}{x ^{2}} d x

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

\int_{1}^{2} \frac{9}{x ^{2}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 9 \cdot \int_{1}^{2} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 9 [- \frac{1}{x}]_{1}^{2}

Berechne die Grenzen:

\frac{1}{2}

= 9 \cdot \frac{1}{2}

Vereinfache

= \frac{9}{2}

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