integral from 0 to 3 of xsqrt(x^2+4)

Lösung

\int_{0}^{3} x x^{2} + 4 d x

\frac{13 13 - 8}{3}

Dezimale

12.95738 \dots

Schritte zur Lösung

\int_{0}^{3} x x^{2} + 4 d x

Wende U-Substitution an

= \int_{2}^{13} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{2}^{13}

Berechne die Grenzen:

\frac{13 13}{3} - \frac{8}{3}

= \frac{13 13}{3} - \frac{8}{3}

Vereinfache

= \frac{13 13 - 8}{3}

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