integral from 1 to e^t of sin(x)

Lösung

\int_{1}^{e^{t}} sin (x) d x

- cos (e^{t}) + cos (1)

Schritte zur Lösung

\int_{1}^{e^{t}} sin (x) d x

Nutze das gemeinsame Integral :

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

= [- cos (x)]_{1}^{e^{t}}

Berechne die Grenzen:

- cos (e^{t}) + cos (1)

= - cos (e^{t}) + cos (1)

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