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

Lösung

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

- \frac{45}{2}

Dezimale

- 22.5

Schritte zur Lösung

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

\int_{- 3}^{2} 2 x^{3} d x = - \frac{65}{2}

\int_{- 3}^{2} 4 x d x = - 10

= - \frac{65}{2} - (- 10)

Vereinfache

- \frac{65}{2} - (- 10) : - \frac{45}{2}

= - \frac{45}{2}

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