integral from 0 to 2 of 6x-3x^2

Lösung

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

4

Schritte zur Lösung

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

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

\int_{0}^{2} 3 x^{2} d x = 8

= 12 - 8

Vereinfache

= 4