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Beliebt Rechnen >

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

Lösung

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

Lösung

3

Schritte zur Lösung

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

Entferne die Extremwerte

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

\int_{0}^{π} sin (x) d x = 2

\int_{π}^{\frac{3 π}{2}} - sin (x) d x = 1

= 2 + 1

Vereinfache

= 3

Graph

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