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

Lösung

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

377796

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{17}^{55} \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_{17}^{55} u^{3} d u

Wende die Potenzregel an

= \frac{1}{6} [\frac{u ^{4}}{4}]_{17}^{55}

Berechne die Grenzen:

2266776

= \frac{1}{6} \cdot 2266776

Vereinfache

= 377796

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