integral from 1 to 3 of-1/2 x+5

Lösung

\int_{1}^{3} - \frac{1}{2} x + 5 d x

8

Schritte zur Lösung

\int_{1}^{3} - \frac{1}{2} x + 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_{1}^{3} \frac{1}{2} x d x + \int_{1}^{3} 5 d x

\int_{1}^{3} \frac{1}{2} x d x = 2

\int_{1}^{3} 5 d x = 10

= - 2 + 10

Vereinfache

= 8

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