integral from 2pi to 5pi of |sin(x)|

Lösung

\int_{2 π}^{5 π} ∣ sin (x) ∣ d x

6

Schritte zur Lösung

\int_{2 π}^{5 π} ∣ sin (x) ∣ d x

Entferne die Extremwerte

= \int_{2 π}^{3 π} sin (x) d x + \int_{3 π}^{4 π} - sin (x) d x + \int_{4 π}^{5 π} sin (x) d x

\int_{2 π}^{3 π} sin (x) d x = 2

\int_{3 π}^{4 π} - sin (x) d x = 2

\int_{4 π}^{5 π} sin (x) d x = 2

= 2 + 2 + 2

Vereinfache

= 6

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