integral from z to sqrt(4-z^2 of)z

Lösung

\int_{z}^{4 - z^{2}} z d z

2 - z^{2}

Schritte zur Lösung

\int_{z}^{4 - z^{2}} z d z

Wende die Potenzregel an

= [\frac{z ^{2}}{2}]_{z}^{4 - z^{2}}

Berechne die Grenzen:

\frac{1}{2} (4 - z^{2}) - \frac{z ^{2}}{2}

= \frac{1}{2} (4 - z^{2}) - \frac{z ^{2}}{2}

Vereinfache

= 2 - z^{2}

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