integral from 0 to 6 of x^2-2x+2

Lösung

\int_{0}^{6} x^{2} - 2 x + 2 d x

48

Schritte zur Lösung

\int_{0}^{6} x^{2} - 2 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}^{6} x^{2} d x - \int_{0}^{6} 2 x d x + \int_{0}^{6} 2 d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 2 x d x = 36

\int_{0}^{6} 2 d x = 12

= 72 - 36 + 12

Vereinfache

= 48