integral from 0 to 2 of x^2y^3

Lösung

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

x^{2} \cdot 4

Schritte zur Lösung

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

Entferne die Konstante:

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

= x^{2} \cdot \int_{0}^{2} y^{3} d y

Wende die Potenzregel an

= x^{2} [\frac{y ^{4}}{4}]_{0}^{2}

Berechne die Grenzen:

4

= x^{2} \cdot 4

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