integral from-1 to 2 of (x^2-5x)

Lösung

\int_{- 1}^{2} (x^{2} - 5 x) d x

- \frac{9}{2}

Dezimale

- 4.5

Schritte zur Lösung

\int_{- 1}^{2} x^{2} - 5 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^{2} d x - \int_{- 1}^{2} 5 x d x

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

\int_{- 1}^{2} 5 x d x = \frac{15}{2}

= 3 - \frac{15}{2}

Vereinfache

3 - \frac{15}{2} : - \frac{9}{2}

= - \frac{9}{2}