integral from 0 to 2 of xsqrt(1+x^2)

Lösung

\int_{0}^{2} x 1 + x^{2} d x

\frac{5 5 - 1}{3}

Dezimale

3.39344 \dots

Schritte zur Lösung

\int_{0}^{2} x 1 + x^{2} d x

Wende U-Substitution an

= \int_{1}^{5} u^{2} d u

Wende die Potenzregel an

= [\frac{u ^{3}}{3}]_{1}^{5}

Berechne die Grenzen:

\frac{5 5}{3} - \frac{1}{3}

= \frac{5 5}{3} - \frac{1}{3}

Vereinfache

= \frac{5 5 - 1}{3}

\int_{1}^{2} \frac{15 x}{5 x ^{2} + 6} d x

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