integral from-3 to 1 of 3x^2+x-10

Lösung

\int_{- 3}^{1} 3 x^{2} + x - 10 d x

- 16

Schritte zur Lösung

\int_{- 3}^{1} 3 x^{2} + x - 10 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_{- 3}^{1} 3 x^{2} d x + \int_{- 3}^{1} x d x - \int_{- 3}^{1} 10 d x

\int_{- 3}^{1} 3 x^{2} d x = 28

\int_{- 3}^{1} x d x = - 4

\int_{- 3}^{1} 10 d x = 40

= 28 - 4 - 40

Vereinfache

= - 16

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