integral from-1 to 5 of x(x-4)^{10}

Lösung

\int_{- 1}^{5} x (x - 4)^{10} d x

- \frac{28483068}{11}

Dezimale

- 2589369.81818 \dots

Schritte zur Lösung

\int_{- 1}^{5} x (x - 4)^{10} d x

Wende die partielle Integration an

= [\frac{1}{11} x (x - 4)^{11} - \int \frac{1}{11} (x - 4)^{11} d x]_{- 1}^{5}

\int \frac{1}{11} (x - 4)^{11} d x = \frac{1}{132} (x - 4)^{12}

= [\frac{1}{11} x (x - 4)^{11} - \frac{1}{132} (x - 4)^{12}]_{- 1}^{5}

Berechne die Grenzen:

- \frac{28483068}{11}

= - \frac{28483068}{11}

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