integral from 1 to 4 of-5/(x^2)

Lösung

\int_{1}^{4} - \frac{5}{x ^{2}} d x

- \frac{15}{4}

Dezimale

- 3.75

Schritte zur Lösung

\int_{1}^{4} - \frac{5}{x ^{2}} 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 ^{2}} d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{3}{4}

= - 5 \cdot \frac{3}{4}

Vereinfache

= - \frac{15}{4}

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