integral from 0 to pi/6 of sqrt(cos(x))

Lösung

\int_{0}^{\frac{π}{6}} cos (x) d x

2 E (\frac{\frac{π}{6}}{2} ∣ 2) - 2 E (0 \cdot 2∣)

Schritte zur Lösung

\int_{0}^{\frac{π}{6}} cos (x) d x

Das ist ein nicht elementares Integral :

\int cos (x) d x = 2 E (\frac{x}{2} ∣ 2)

= [2 E (\frac{x}{2} ∣ 2)]_{0}^{\frac{π}{6}}

Berechne die Grenzen:

2 E (\frac{\frac{π}{6}}{2} ∣ 2) - 2 E (0 \cdot 2∣)

= 2 E (\frac{\frac{π}{6}}{2} ∣ 2) - 2 E (0 \cdot 2∣)

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