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Beliebt Rechnen >

integral from 0 to pi/6 of (6sec^2(x))

Lösung

\int_{0}^{\frac{π}{6}} (6 sec^{2} (x)) d x

Lösung

23

+1

Dezimale

3.46410 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{6}} 6 sec^{2} (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 6 \cdot \int_{0}^{\frac{π}{6}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

\int sec^{2} (x) d x = tan (x)

= 6 [tan (x)]_{0}^{\frac{π}{6}}

Berechne die Grenzen:

\frac{1}{3}

= 6 \cdot \frac{1}{3}

Vereinfache

= 23

Graph

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