integral from 0 to 4 of sqrt(2x)

Lösung

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

- \frac{8 2}{3} + 82

Dezimale

7.54247 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

= [2 x x - \int \frac{x}{2} d x]_{0}^{4}

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

= [2 x x - \frac{2}{3} x^{\frac{3}{2}}]_{0}^{4}

Berechne die Grenzen:

- 8 \cdot \frac{2}{3} + 82

= - 8 \cdot \frac{2}{3} + 82

Vereinfache

= - \frac{8 2}{3} + 82

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