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

Lösung

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

12

Schritte zur Lösung

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

\int_{- 2}^{1} 2 x^{2} d x = 6

\int_{- 2}^{1} 2 d x = 6

= 6 + 6

Vereinfache

= 12

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