integral from-1 to 3 of (-x^3-5x+1)

Lösung

\int_{- 1}^{3} (- x^{3} - 5 x + 1) d x

- 36

Schritte zur Lösung

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

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 5 x d x = 20

\int_{- 1}^{3} 1 d x = 4

= - 20 - 20 + 4

Vereinfache

= - 36

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