integral from-1 to 1 of (x^2-1/3)

Lösung

\int_{- 1}^{1} (x^{2} - \frac{1}{3}) d x

0

Schritte zur Lösung

\int_{- 1}^{1} x^{2} - \frac{1}{3} 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_{- 1}^{1} x^{2} d x - \int_{- 1}^{1} \frac{1}{3} d x

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

\int_{- 1}^{1} \frac{1}{3} d x = \frac{2}{3}

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

Vereinfache

= 0

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