integral from 2 to 3 of e^tcos(e^t)

Lösung

\int_{2}^{3} e^{t} cos (e^{t}) d t

sin (e^{3}) - sin (e^{2})

Dezimale

0.05061 \dots

Schritte zur Lösung

\int_{2}^{3} e^{t} cos (e^{t}) d t

Wende U-Substitution an

= \int_{e^{2}}^{e^{3}} cos (u) d u

Nutze das gemeinsame Integral :

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

= [sin (u)]_{e^{2}}^{e^{3}}

Berechne die Grenzen:

sin (e^{3}) - sin (e^{2})

= sin (e^{3}) - sin (e^{2})

\int_{- 1}^{4} \frac{2}{3 x ^{2}} d x

\int_{1}^{- 1} (12 r + 11)^{2} d r

\int_{- 1}^{0} \frac{1}{x ^{2} - 4} d x

\int_{0}^{2} - t^{2} + 3 t - 2 d t

\int_{0}^{1} \frac{1}{x ^{2} + 1} d x