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Beliebt Rechnen >

integral from 1 to 3 of 2/(t^3)

Lösung

\int_{1}^{3} \frac{2}{t ^{3}} d t

Lösung

\frac{8}{9}

+1

Dezimale

0.88888 \dots

Schritte zur Lösung

\int_{1}^{3} \frac{2}{t ^{3}} d t

Entferne die Konstante:

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

= 2 \cdot \int_{1}^{3} \frac{1}{t ^{3}} d t

Wende die Potenzregel an

= 2 [- \frac{1}{2 t ^{2}}]_{1}^{3}

Berechne die Grenzen:

\frac{4}{9}

= 2 \cdot \frac{4}{9}

Vereinfache

= \frac{8}{9}

Graph

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