integral from 1.5 to 2 of |x-1|

Lösung

\int_{1.5}^{2} ∣ x - 1 ∣ d x

0.375

Schritte zur Lösung

\int_{1.5}^{2} ∣ x - 1 ∣ d x

Entferne die Extremwerte

= \int_{1.5}^{2} x - 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}^{2} x d x - \int_{1.5}^{2} 1 d x

\int_{1.5}^{2} x d x = 0.875

\int_{1.5}^{2} 1 d x = 0.5

= 0.875 - 0.5

Vereinfache

= 0.375

\int_{- 1}^{1} (x^{2} + x^{4} sin (x)) d x

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