integral from-2 to 1 of (-x^2+7)

Lösung

\int_{- 2}^{1} (- x^{2} + 7) d x

18

Schritte zur Lösung

\int_{- 2}^{1} - x^{2} + 7 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} x^{2} d x + \int_{- 2}^{1} 7 d x

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

\int_{- 2}^{1} 7 d x = 21

= - 3 + 21

Vereinfache

= 18

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