What is the integral of e^xcos(e^x) ?

The integral of e^xcos(e^x) is sin(e^x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^xcos(e^x)

\int e^{x} cos (e^{x}) d x

sin (e^{x}) + C

Solution steps

\int e^{x} cos (e^{x}) d x

Apply u-substitution

: \int cos (u) d u

= \int cos (u) d u

Use the common integral:

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

= sin (u)

Substitute back

u = e^{x}

= sin (e^{x})

Add a constant to the solution

= sin (e^{x}) + C

y = e^{3 x}, y = e^{x}, [0, 1]

x y^{^{'}} - y = y^{3}

\int_{0}^{9} \frac{x}{( x + 9 ) ^{4}} d x

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

\frac{2}{x ^{6}}