integral from 4 to 6 of 6/(x^4)

Lösung

\int_{4}^{6} \frac{6}{x ^{4}} d x

\frac{19}{864}

Dezimale

0.02199 \dots

Schritte zur Lösung

\int_{4}^{6} \frac{6}{x ^{4}} d x

Entferne die Konstante:

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

= 6 \cdot \int_{4}^{6} \frac{1}{x ^{4}} d x

Wende die Potenzregel an

= 6 [- \frac{1}{3 x ^{3}}]_{4}^{6}

Berechne die Grenzen:

\frac{19}{5184}

= 6 \cdot \frac{19}{5184}

Vereinfache

= \frac{19}{864}

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