integral from 0 to pi/7 of sec(x)tan(x)

Lösung

\int_{0}^{\frac{π}{7}} sec (x) tan (x) d x

sec (\frac{π}{7}) - 1

Dezimale

0.10991 \dots

Schritte zur Lösung

\int_{0}^{\frac{π}{7}} sec (x) tan (x) d x

Wende U-Substitution an

= \int_{1}^{s e c (\frac{π}{7})} 1 d u

Integral einer Konstanten :

\int a d x = a x

= [1 \cdot u]_{1}^{s e c (\frac{π}{7})}

Vereinfache

= [u]_{1}^{s e c (\frac{π}{7})}

Berechne die Grenzen:

sec (\frac{π}{7}) - 1

= sec (\frac{π}{7}) - 1

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