Calculus Examples

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

Step 1

$\int \cos (x) e^{\sin (x)} d x$ is an antiderivative of $\cos (x) e^{\sin (x)}$ , so by definition $\frac{d}{d x} [\int \cos (x) e^{\sin (x)} d x]$ is $\cos (x) e^{\sin (x)}$ .

$\cos (x) e^{\sin (x)}$

Step 2

Reorder the factors of $\cos (x) e^{\sin (x)}$ .

$e^{\sin (x)} \cos (x)$