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Beliebt Rechnen >

integral from 6 to 8 of (74)/((x-6)^3)

Lösung

\int_{6}^{8} \frac{74}{( x - 6 ) ^{3}} d x

Lösung

divergiert

Schritte zur Lösung

\int_{6}^{8} \frac{74}{( x - 6 ) ^{3}} d x

Entferne die Konstante:

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

= 74 \cdot \int_{6}^{8} \frac{1}{( x - 6 ) ^{3}} d x

Wende U-Substitution an

= 74 \cdot \int_{0}^{2} \frac{1}{u ^{3}} d u

Wende die Potenzregel an

= 74 [- \frac{1}{2 u ^{2}}]_{0}^{2}

Berechne die Grenzen:

divergiert

= divergiert

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