integral from-3 to 5 of (x/2+5)

Lösung

\int_{- 3}^{5} (\frac{x}{2} + 5) d x

44

Schritte zur Lösung

\int_{- 3}^{5} \frac{x}{2} + 5 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_{- 3}^{5} \frac{x}{2} d x + \int_{- 3}^{5} 5 d x

\int_{- 3}^{5} \frac{x}{2} d x = 4

\int_{- 3}^{5} 5 d x = 40

= 4 + 40

Vereinfache

= 44

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