integral from 0 to ln(pi) of e^xcos(e^x)

Lösung

\int_{0}^{l n (π)} e^{x} cos (e^{x}) d x

- sin (1)

Dezimale

- 0.84147 \dots

Schritte zur Lösung

\int_{0}^{l n (π)} e^{x} cos (e^{x}) d x

Wende U-Substitution an

= \int_{1}^{π} cos (u) d u

Nutze das gemeinsame Integral :

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

= [sin (u)]_{1}^{π}

Berechne die Grenzen:

- sin (1)

= - sin (1)

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