integral from 0 to 3 of (x^2-3x+2)

Lösung

\int_{0}^{3} (x^{2} - 3 x + 2) d x

\frac{3}{2}

Dezimale

1.5

Schritte zur Lösung

\int_{0}^{3} x^{2} - 3 x + 2 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_{0}^{3} x^{2} d x - \int_{0}^{3} 3 x d x + \int_{0}^{3} 2 d x

\int_{0}^{3} x^{2} d x = 9

\int_{0}^{3} 3 x d x = \frac{27}{2}

\int_{0}^{3} 2 d x = 6

= 9 - \frac{27}{2} + 6

Vereinfache

9 - \frac{27}{2} + 6 : \frac{3}{2}

= \frac{3}{2}