integral from 1 to 2 of xsqrt(x^2-2)

Lösung

\int_{1}^{2} x x^{2} - 2 d x

\frac{2 2}{3} + i \frac{1}{3}

Schritte zur Lösung

\int_{1}^{2} x x^{2} - 2 d x

Wende U-Substitution an

= \int_{i}^{2} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{i}^{2}

Berechne die Grenzen:

\frac{2 2}{3} + i \frac{1}{3}

= \frac{2 2}{3} + i \frac{1}{3}

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