integral from 2 to 3 of (2x-x^2)

Lösung

\int_{2}^{3} (2 x - x^{2}) d x

- \frac{4}{3}

Dezimale

- 1.33333 \dots

Schritte zur Lösung

\int_{2}^{3} 2 x - x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{2}^{3} 2 x d x - \int_{2}^{3} x^{2} d x

\int_{2}^{3} 2 x d x = 5

\int_{2}^{3} x^{2} d x = \frac{19}{3}

= 5 - \frac{19}{3}

Vereinfache

5 - \frac{19}{3} : - \frac{4}{3}

= - \frac{4}{3}

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