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

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

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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

12 - x^{2}, x^{2} - 6, - 3, 3

\int 3 cot^{3} (x) csc^{3} (x) d x

\int \frac{5 x - 2}{( x + 2 ) ( x - 2 )} d x

\frac{d y}{d x} = x^{2} (1 + y), y (0) = 3

x \to 0 lim (csc (x) ln (x + 1))

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