integral from 1 to 4 of 5/(x^3)

Lösung

\int_{1}^{4} \frac{5}{x ^{3}} d x

\frac{75}{32}

Dezimale

2.34375

Schritte zur Lösung

\int_{1}^{4} \frac{5}{x ^{3}} d x

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{4} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 5 [- \frac{1}{2 x ^{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{15}{32}

= 5 \cdot \frac{15}{32}

Vereinfache

= \frac{75}{32}

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