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

\int \frac{( 1 - x ) ^{3}}{3} d x

\int \frac{cos ^{2} ( x )}{x} d x

\int lo g_{4} (x) d x

\int \frac{1}{( 3 x + 4 ) ^{2}} d x

\int \frac{1}{cos ( u )} d u

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