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Beliebt Rechnen >

integral from 1 to 12 of 4/(x^2)

Lösung

\int_{1}^{12} \frac{4}{x ^{2}} d x

Lösung

\frac{11}{3}

+1

Dezimale

3.66666 \dots

Schritte zur Lösung

\int_{1}^{12} \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}^{12} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 4 [- \frac{1}{x}]_{1}^{12}

Berechne die Grenzen:

\frac{11}{12}

= 4 \cdot \frac{11}{12}

Vereinfache

= \frac{11}{3}

Graph

Beliebte Beispiele

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\int_{1}^{5} 5 - x d x

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