integral from 0 to 2 of-3/2 x+3

Lösung

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

3

Schritte zur Lösung

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

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

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

= - 3 + 6

Vereinfache

= 3