integral from 0 to 3 of 2x^4

Lösung

\int_{0}^{3} 2 x^{4} d x

\frac{486}{5}

Dezimale

97.2

Schritte zur Lösung

\int_{0}^{3} 2 x^{4} d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{3} x^{4} d x

Wende die Potenzregel an

= 2 [\frac{x ^{5}}{5}]_{0}^{3}

Berechne die Grenzen:

\frac{243}{5}

= 2 \cdot \frac{243}{5}

Vereinfache

= \frac{486}{5}

\int_{- 4}^{4} (x - 2) d x

\int_{2}^{3} x^{2} + 3 d x

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\int_{x - 2}^{x^{2}} t - 1 d t

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