integral from 0 to (3pi)/2 of 8|sin(x)|

Lösung

\int_{0}^{\frac{3 π}{2}} 8 ∣ sin (x) ∣ d x

24

Schritte zur Lösung

\int_{0}^{\frac{3 π}{2}} 8 ∣ sin (x) ∣ d x

Entferne die Extremwerte

= \int_{0}^{π} 8 sin (x) d x + \int_{π}^{\frac{3 π}{2}} 8 (- sin (x)) d x

\int_{0}^{π} 8 sin (x) d x = 16

\int_{π}^{\frac{3 π}{2}} 8 (- sin (x)) d x = 8

= 16 + 8

Vereinfache

= 24

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