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Beliebt Rechnen >

integral from 2 to 6 of 3x^2

Lösung

\int_{2}^{6} 3 x^{2} d x

Lösung

208

Schritte zur Lösung

\int_{2}^{6} 3 x^{2} d x

Entferne die Konstante:

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

= 3 \cdot \int_{2}^{6} x^{2} d x

Wende die Potenzregel an

= 3 [\frac{x ^{3}}{3}]_{2}^{6}

Berechne die Grenzen:

\frac{208}{3}

= 3 \cdot \frac{208}{3}

Vereinfache

= 208

Graph

Beliebte Beispiele

integral from 1 to 2 of (e^x)/(e^x-1)

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

integral from 0 to 2 of x^3+3

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

integral from 1 to 3 of x^3+1

\int_{1}^{3} x^{3} + 1 d x

integral from 0 to 2 of f(3x)

\int_{0}^{2} f (3 x) d x

integral from 0 to 1 of (2-3x)^4

\int_{0}^{1} (2 - 3 x)^{4} d x