integral from 1 to x of x^4

Lösung

\int_{1}^{x} x^{4} d x

\frac{x ^{5} - 1}{5}

Schritte zur Lösung

\int_{1}^{x} x^{4} d x

Wende die Potenzregel an

= [\frac{x ^{5}}{5}]_{1}^{x}

Berechne die Grenzen:

\frac{x ^{5}}{5} - \frac{1}{5}

= \frac{x ^{5}}{5} - \frac{1}{5}

Vereinfache

= \frac{x ^{5} - 1}{5}

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