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

Lösung

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

20

Schritte zur Lösung

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

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

\int_{- 1}^{3} 2 d x = 8

= 28 - 8

Vereinfache

= 20

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