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

Lösung

\int_{0}^{π} ∣ sin (2 x) ∣ d x

2

Schritte zur Lösung

\int_{0}^{π} ∣ sin (2 x) ∣ d x

Entferne die Extremwerte

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

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

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

= 1 + 1

Vereinfache

= 2

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