integral from v^1 to v^2 of v

Lösung

\int_{v^{1}}^{v^{2}} v d v

\frac{v ^{4} - v ^{2}}{2}

Schritte zur Lösung

\int_{v^{1}}^{v^{2}} v d v

Wende die Potenzregel an

= [\frac{v ^{2}}{2}]_{v^{1}}^{v^{2}}

Vereinfache

= [\frac{v ^{2}}{2}]_{v}^{v^{2}}

Berechne die Grenzen:

\frac{v ^{4}}{2} - \frac{v ^{2}}{2}

= \frac{v ^{4}}{2} - \frac{v ^{2}}{2}

Vereinfache

= \frac{v ^{4} - v ^{2}}{2}

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