integral from pi/2 to pi of sec(x)

Lösung

\int_{\frac{π}{2}}^{π} sec (x) d x

divergiert

Schritte zur Lösung

\int_{\frac{π}{2}}^{π} sec (x) d x

Nutze das gemeinsame Integral :

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= [ln ∣ tan (x) + sec (x) ∣]_{\frac{π}{2}}^{π}

Berechne die Grenzen:

divergiert

= divergiert

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