integral from 0 to 1 of sqrt(2x)

Lösung

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

- \frac{2}{3} + 2

Dezimale

0.94280 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

= [2 x x - \int \frac{x}{2} d x]_{0}^{1}

\int \frac{x}{2} d x = \frac{2}{3} x^{\frac{3}{2}}

= [2 x x - \frac{2}{3} x^{\frac{3}{2}}]_{0}^{1}

Berechne die Grenzen:

- \frac{2}{3} + 2

= - \frac{2}{3} + 2

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