integral from-2 to 5 of (10-5x)

Lösung

\int_{- 2}^{5} (10 - 5 x) d x

\frac{35}{2}

Dezimale

17.5

Schritte zur Lösung

\int_{- 2}^{5} 10 - 5 x 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_{- 2}^{5} 10 d x - \int_{- 2}^{5} 5 x d x

\int_{- 2}^{5} 10 d x = 70

\int_{- 2}^{5} 5 x d x = \frac{105}{2}

= 70 - \frac{105}{2}

Vereinfache

70 - \frac{105}{2} : \frac{35}{2}

= \frac{35}{2}

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