integral from 4 to-2 of (6x^2+x)

Lösung

\int_{4}^{- 2} (6 x^{2} + x) d x

- 150

Schritte zur Lösung

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

\int_{- 2}^{4} 6 x^{2} d x = 144

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

= - (144 + 6)

Vereinfache

= - 150

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