integral from-1 to x of t^5

Lösung

\int_{- 1}^{x} t^{5} d t

\frac{x ^{6} - 1}{6}

Schritte zur Lösung

\int_{- 1}^{x} t^{5} d t

Wende die Potenzregel an

= [\frac{t ^{6}}{6}]_{- 1}^{x}

Berechne die Grenzen:

\frac{x ^{6}}{6} - \frac{1}{6}

= \frac{x ^{6}}{6} - \frac{1}{6}

Vereinfache

= \frac{x ^{6} - 1}{6}

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