integral from 1 to 2 of 8x^3

Lösung

\int_{1}^{2} 8 x^{3} d x

30

Schritte zur Lösung

\int_{1}^{2} 8 x^{3} d x

Entferne die Konstante:

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

= 8 \cdot \int_{1}^{2} x^{3} d x

Wende die Potenzregel an

= 8 [\frac{x ^{4}}{4}]_{1}^{2}

Berechne die Grenzen:

\frac{15}{4}

= 8 \cdot \frac{15}{4}

Vereinfache

= 30

\int_{e}^{e^{2}} \frac{cos ( ln ( x ) )}{x} d x

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\int_{0}^{r} r^{2} d r

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