integral from 1 to 7 of 4/(x^2)

Lösung

\int_{1}^{7} \frac{4}{x ^{2}} d x

\frac{24}{7}

Dezimale

3.42857 \dots

Schritte zur Lösung

\int_{1}^{7} \frac{4}{x ^{2}} d x

Entferne die Konstante:

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

= 4 \cdot \int_{1}^{7} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 4 [- \frac{1}{x}]_{1}^{7}

Berechne die Grenzen:

\frac{6}{7}

= 4 \cdot \frac{6}{7}

Vereinfache

= \frac{24}{7}

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