integral from x to x^4 of t^5

Lösung

\int_{x}^{x^{4}} t^{5} d t

\frac{x ^{24} - x ^{6}}{6}

Schritte zur Lösung

\int_{x}^{x^{4}} t^{5} d t

Wende die Potenzregel an

= [\frac{t ^{6}}{6}]_{x}^{x^{4}}

Berechne die Grenzen:

\frac{x ^{24}}{6} - \frac{x ^{6}}{6}

= \frac{x ^{24}}{6} - \frac{x ^{6}}{6}

Vereinfache

= \frac{x ^{24} - x ^{6}}{6}

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