integral from-1 to 0 of x^3-6x

Lösung

\int_{- 1}^{0} x^{3} - 6 x d x

\frac{11}{4}

Dezimale

2.75

Schritte zur Lösung

\int_{- 1}^{0} 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}^{0} x^{3} d x - \int_{- 1}^{0} 6 x d x

\int_{- 1}^{0} x^{3} d x = - \frac{1}{4}

\int_{- 1}^{0} 6 x d x = - 3

= - \frac{1}{4} - (- 3)

Vereinfache

- \frac{1}{4} - (- 3) : \frac{11}{4}

= \frac{11}{4}