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Beliebt Rechnen >

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

Lösung

\int_{0}^{2 π} ∣ cos (x) ∣ d x

Lösung

4

Schritte zur Lösung

\int_{0}^{2 π} ∣ 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_{\frac{3 π}{2}}^{2 π} 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

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

= 1 + 2 + 1

Vereinfache

= 4

Graph

Beliebte Beispiele

integral of ((Inx)^2)/x

\int \frac{( I n x ) ^{2}}{x} d x

integral from 0 to 2pi of (2-2r^2)r

\int_{0}^{2 π} (2 - 2 r^{2}) r d r

derivative of 12cos(2x)

\frac{d}{d x} (12 cos (2 x))

inverselaplace 3/s+8/(s(s+1))

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derivative of 7x+5

\frac{d}{d x} (7 x + 5)