integral from-1 to 1 of x-x^2

Lösung

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

- \frac{2}{3}

Dezimale

- 0.66666 \dots

Schritte zur Lösung

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

\int_{- 1}^{1} x d x = 0

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

= 0 - \frac{2}{3}

Vereinfache

= - \frac{2}{3}

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

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