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Beliebt Rechnen >

integral from 1 to 5 of 4x^3

Lösung

\int_{1}^{5} 4 x^{3} d x

Lösung

624

Schritte zur Lösung

\int_{1}^{5} 4 x^{3} d x

Entferne die Konstante:

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

= 4 \cdot \int_{1}^{5} x^{3} d x

Wende die Potenzregel an

= 4 [\frac{x ^{4}}{4}]_{1}^{5}

Berechne die Grenzen:

156

= 4 \cdot 156

Vereinfache

= 624

Graph

Beliebte Beispiele

integral from 5 to 10 of 1/25 (10-x)

\int_{5}^{10} \frac{1}{25} (10 - x) d x

integral from 0 to 5 of (x-1)

\int_{0}^{5} (x - 1) d x

integral from 0 to 3 of x^2+2x-8

\int_{0}^{3} x^{2} + 2 x - 8 d x

integral from 0 to 4 of (x+1)

\int_{0}^{4} (x + 1) d x

integral from 1 to 3 of 0.25

\int_{1}^{3} 0.25 d x