integral from x^3 to sqrt(x of)y

Lösung

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

\frac{x - x ^{6}}{2}

Schritte zur Lösung

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{x}{2} - \frac{x ^{6}}{2}

= \frac{x}{2} - \frac{x ^{6}}{2}

Vereinfache

= \frac{x - x ^{6}}{2}

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