integral from-1 to 0 of x^2+x

Lösung

\int_{- 1}^{0} x^{2} + x d x

- \frac{1}{6}

Dezimale

- 0.16666 \dots

Schritte zur Lösung

\int_{- 1}^{0} 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_{- 1}^{0} x^{2} d x + \int_{- 1}^{0} x d x

\int_{- 1}^{0} x^{2} d x = \frac{1}{3}

\int_{- 1}^{0} x d x = - \frac{1}{2}

= \frac{1}{3} - \frac{1}{2}

Vereinfache

\frac{1}{3} - \frac{1}{2} : - \frac{1}{6}

= - \frac{1}{6}

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