integral from 0 to 3 of x^2-x

Lösung

\int_{0}^{3} x^{2} - x d x

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

\int_{0}^{3} x^{2} - x 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_{0}^{3} x^{2} d x - \int_{0}^{3} x d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} x d x = \frac{9}{2}

= 9 - \frac{9}{2}

Vereinfache

9 - \frac{9}{2} : \frac{9}{2}

= \frac{9}{2}

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