integral from-1 to 2 of x^3-6x

Lösung

\int_{- 1}^{2} x^{3} - 6 x d x

- \frac{21}{4}

Dezimale

- 5.25

Schritte zur Lösung

\int_{- 1}^{2} x^{3} - 6 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_{- 1}^{2} x^{3} d x - \int_{- 1}^{2} 6 x d x

\int_{- 1}^{2} x^{3} d x = \frac{15}{4}

\int_{- 1}^{2} 6 x d x = 9

= \frac{15}{4} - 9

Vereinfache

\frac{15}{4} - 9 : - \frac{21}{4}

= - \frac{21}{4}

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