integral from 0 to pi/3 of 9sec^2(x)

Lösung

\int_{0}^{\frac{π}{3}} 9 sec^{2} (x) d x

93

Dezimale

15.58845 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{3}} 9 sec^{2} (x) d x

Entferne die Konstante:

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

= 9 \cdot \int_{0}^{\frac{π}{3}} sec^{2} (x) d x

Nutze das gemeinsame Integral :

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

= 9 [tan (x)]_{0}^{\frac{π}{3}}

Berechne die Grenzen:

3

= 93

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