integral from-1 to 3/2 of (x^3-3x)

Lösung

\int_{- 1}^{\frac{3}{2}} (x^{3} - 3 x) d x

- \frac{55}{64}

Dezimale

- 0.859375

Schritte zur Lösung

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

\int_{- 1}^{\frac{3}{2}} x^{3} d x = \frac{65}{64}

\int_{- 1}^{\frac{3}{2}} 3 x d x = \frac{15}{8}

= \frac{65}{64} - \frac{15}{8}

Vereinfache

\frac{65}{64} - \frac{15}{8} : - \frac{55}{64}

= - \frac{55}{64}

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