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Beliebt Rechnen >

integral from 2 to x^3 of t^4

Lösung

\int_{2}^{x^{3}} t^{4} d t

Lösung

\frac{x ^{15} - 32}{5}

Schritte zur Lösung

\int_{2}^{x^{3}} t^{4} d t

Wende die Potenzregel an

= [\frac{t ^{5}}{5}]_{2}^{x^{3}}

Berechne die Grenzen:

\frac{x ^{15}}{5} - \frac{32}{5}

= \frac{x ^{15}}{5} - \frac{32}{5}

Vereinfache

= \frac{x ^{15} - 32}{5}

Beliebte Beispiele

y^{''}-2y^'-3y=3e^2t

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{2} t

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ma c l a u r in f (x) = e^{8 x}

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\int \frac{144 - x ^{2}}{x} d x