integral from 1.5 to 3 of (-x/3+1)

Lösung

\int_{1.5}^{3} (- \frac{x}{3} + 1) d x

0.375

Schritte zur Lösung

\int_{1.5}^{3} - \frac{x}{3} + 1 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_{1.5}^{3} \frac{x}{3} d x + \int_{1.5}^{3} 1 d x

\int_{1.5}^{3} \frac{x}{3} d x = 1.125

\int_{1.5}^{3} 1 d x = 1.5

= - 1.125 + 1.5

Vereinfache

= 0.375

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