integral from-2 to 4 of (y+4)/2-(y^2)/4

Lösung

\int_{- 2}^{4} \frac{y + 4}{2} - \frac{y ^{2}}{4} d y

9

Schritte zur Lösung

\int_{- 2}^{4} \frac{y + 4}{2} - \frac{y ^{2}}{4} d y

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{4} \frac{y + 4}{2} d y - \int_{- 2}^{4} \frac{y ^{2}}{4} d y

\int_{- 2}^{4} \frac{y + 4}{2} d y = 15

\int_{- 2}^{4} \frac{y ^{2}}{4} d y = 6

= 15 - 6

Vereinfache

= 9