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

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

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

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

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

Solution steps

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

Apply u-substitution

= \int e^{u} d u

Use the common integral:

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

= e^{u}

Substitute back

u = sin (y)

= e^{s i n (y)}

Add a constant to the solution

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

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