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Beliebt Rechnen >

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

Lösung

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

Lösung

3

Schritte zur Lösung

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

Entferne die Extremwerte

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

\int_{0}^{\frac{π}{2}} cos (x) d x = 1

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

= 1 + 2

Vereinfache

= 3

Graph

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