integral from pi/4 to pi/2 of csc(x)

Lösung

\int_{\frac{π}{4}}^{\frac{π}{2}} csc (x) d x

- ln (2 - 1)

Dezimale

0.88137 \dots

Schritte zur Lösung

\int_{\frac{π}{4}}^{\frac{π}{2}} csc (x) d x

Wende U-Substitution an

= \int_{2 - 1}^{1} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{2 - 1}^{1}

Berechne die Grenzen:

- ln (2 - 1)

= - ln (2 - 1)

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