What is the integral from 2 to 3 of e^tcos(e^t) ?

The integral from 2 to 3 of e^tcos(e^t) is sin(e^3)-sin(e^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

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

Decimal

0.05061 \dots

Solution steps

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

Apply u-substitution

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

Use the common integral:

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

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

Compute the boundaries:

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

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

What is the integral from 2 to 3 of e^tcos(e^t) ?
The integral from 2 to 3 of e^tcos(e^t) is sin(e^3)-sin(e^2)