integral from 2 to 3 of-72x^{-3}

Lösung

\int_{2}^{3} - 72 x^{- 3} d x

- 5

Schritte zur Lösung

\int_{2}^{3} - 72 x^{- 3} d x

Entferne die Konstante:

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

= - 72 \cdot \int_{2}^{3} x^{- 3} d x

Wende die Potenzregel an

= - 72 [- \frac{1}{2 x ^{2}}]_{2}^{3}

Berechne die Grenzen:

\frac{5}{72}

= - 72 \cdot \frac{5}{72}

Vereinfache

= - 5

\int_{0}^{3} \frac{12}{3 x + 1} d x

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