integral from-4 to 2 of-x^2-3x

Lösung

\int_{- 4}^{2} - x^{2} - 3 x d x

- 6

Schritte zur Lösung

\int_{- 4}^{2} - x^{2} - 3 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_{- 4}^{2} x^{2} d x - \int_{- 4}^{2} 3 x d x

\int_{- 4}^{2} x^{2} d x = 24

\int_{- 4}^{2} 3 x d x = - 18

= - 24 - (- 18)

Vereinfache

= - 6

\int_{0}^{1} x (1 - x)^{4} d x

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\int_{0}^{5} 3 t - 8 d t