integral from x to 5 of cos(e^t)

Lösung

\int_{x}^{5} cos (e^{t}) d t

Ci (e^{5}) - Ci (e^{x})

Schritte zur Lösung

\int_{x}^{5} cos (e^{t}) d t

Wende U-Substitution an

= \int_{e^{x}}^{e^{5}} \frac{cos ( u )}{u} d u

Das ist ein nicht elementares Integral :

\int \frac{cos ( x )}{x} d x = Ci (x)

= [Ci (u)]_{e^{x}}^{e^{5}}

Berechne die Grenzen:

Ci (e^{5}) - Ci (e^{x})

= Ci (e^{5}) - Ci (e^{x})

\int_{1}^{3} \frac{1}{x - 1} d x

\int_{0}^{2} sin^{2} (x) d x

\int_{0}^{1} u d u

\int_{0}^{3} \frac{1}{1 + 1 + x} d x

\int_{- 1}^{2} (x) d x