integral from 1 to e of (sin(ln(θ)))/θ

Lösung

\int_{1}^{e} \frac{sin ( ln ( θ ) )}{θ} d θ

- cos (1) + 1

Dezimale

0.45969 \dots

Schritte zur Lösung

\int_{1}^{e} \frac{sin ( ln ( θ ) )}{θ} d θ

Wende U-Substitution an

= \int_{0}^{1} sin (u) d u

Nutze das gemeinsame Integral :

\int sin (u) d u = - cos (u)

= [- cos (u)]_{0}^{1}

Berechne die Grenzen:

- cos (1) + 1

= - cos (1) + 1