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Beliebt Rechnen >

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

Lösung

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

Lösung

3480

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{17} \frac{u ^{3}}{6} d u

Entferne die Konstante:

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

= \frac{1}{6} \cdot \int_{1}^{17} u^{3} d u

Wende die Potenzregel an

= \frac{1}{6} [\frac{u ^{4}}{4}]_{1}^{17}

Berechne die Grenzen:

20880

= \frac{1}{6} \cdot 20880

Vereinfache

= 3480

Graph

Beliebte Beispiele

integral of 5/((x-1)^2)

\int \frac{5}{( x - 1 ) ^{2}} d x

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\int \frac{x + 5}{2 x ^{3} - 8 x} d x

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