integral from-2 to-4 of (x+4)^{10}

Lösung

\int_{- 2}^{- 4} (x + 4)^{10} d x

- \frac{2048}{11}

Dezimale

- 186.18181 \dots

Schritte zur Lösung

\int_{- 2}^{- 4} (x + 4)^{10} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{- 4}^{- 2} (x + 4)^{10} d x

Wende U-Substitution an

= - \int_{0}^{2} u^{10} d u

Wende die Potenzregel an

= - [\frac{u ^{11}}{11}]_{0}^{2}

Berechne die Grenzen:

\frac{2048}{11}

= - \frac{2048}{11}

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