integral from 0 to 3/2 of |sin(x)|

Lösung

\int_{0}^{\frac{3}{2}} ∣ sin (x) ∣ d x

- cos (\frac{3}{2}) + 1

Dezimale

0.92926 \dots

Schritte zur Lösung

\int_{0}^{\frac{3}{2}} ∣ sin (x) ∣ d x

Entferne die Extremwerte

= \int_{0}^{\frac{3}{2}} sin (x) d x

Nutze das gemeinsame Integral :

\int sin (x) d x = - cos (x)

= [- cos (x)]_{0}^{\frac{3}{2}}

Berechne die Grenzen:

- cos (\frac{3}{2}) + 1

= - cos (\frac{3}{2}) + 1

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