integral from-2 to 2 of 5t^4

Lösung

\int_{- 2}^{2} 5 t^{4} d t

64

Schritte zur Lösung

\int_{- 2}^{2} 5 t^{4} d t

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int_{- 2}^{2} t^{4} d t

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{64}{5}

= 5 \cdot \frac{64}{5}

Vereinfache

= 64

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