integral from-4 to 0 of x^3-16x

Lösung

\int_{- 4}^{0} x^{3} - 16 x d x

64

Schritte zur Lösung

\int_{- 4}^{0} x^{3} - 16 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}^{0} x^{3} d x - \int_{- 4}^{0} 16 x d x

\int_{- 4}^{0} x^{3} d x = - 64

\int_{- 4}^{0} 16 x d x = - 128

= - 64 - (- 128)

Vereinfache

= 64

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