integral from-2 to 4 of x^2-2x

Lösung

\int_{- 2}^{4} x^{2} - 2 x d x

12

Schritte zur Lösung

\int_{- 2}^{4} x^{2} - 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_{- 2}^{4} x^{2} d x - \int_{- 2}^{4} 2 x d x

\int_{- 2}^{4} x^{2} d x = 24

\int_{- 2}^{4} 2 x d x = 12

= 24 - 12

Vereinfache

= 12

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