integral from 3 to 6 of 2/(x^3)

Lösung

\int_{3}^{6} \frac{2}{x ^{3}} d x

\frac{1}{12}

Dezimale

0.08333 \dots

Schritte zur Lösung

\int_{3}^{6} \frac{2}{x ^{3}} d x

Entferne die Konstante:

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

= 2 \cdot \int_{3}^{6} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 2 [- \frac{1}{2 x ^{2}}]_{3}^{6}

Berechne die Grenzen:

\frac{1}{24}

= 2 \cdot \frac{1}{24}

Vereinfache

= \frac{1}{12}

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