integral from-4 to 2 of (-x+2)

Lösung

\int_{- 4}^{2} (- x + 2) d x

18

Schritte zur Lösung

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

\int_{- 4}^{2} x d x = - 6

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

= - (- 6) + 12

Vereinfache

= 18

\int_{- 3}^{1} 6 x^{2} - 5 x + 2 d x

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