What is the integral of (cos(x))e^{sin(x)} ?

The integral of (cos(x))e^{sin(x)} is e^{sin(x)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (cos(x))e^{sin(x)}

\int (cos (x)) e^{s i n (x)} d x

e^{s i n (x)} + C

Solution steps

\int cos (x) e^{s i n (x)} d x

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Substitute back

u = sin (x)

= e^{s i n (x)}

Add a constant to the solution

= e^{s i n (x)} + C

\frac{\partial}{\partial x} (4 x y - 5 x^{2} y)

\frac{d}{d x} (3 sec (x))

y = 3 x^{2} + 2

\frac{d}{d x} ((\frac{5 ^{x}}{x ^{5}})^{s i n (x^{5})})

What is the integral of (cos(x))e^{sin(x)} ?
The integral of (cos(x))e^{sin(x)} is e^{sin(x)}+C