Calculus Examples

$\int (3 + e^{x^{2}}) d x$

Step 1

Remove parentheses.

$\int 3 + e^{x^{2}} d x$

Step 2

Split the single integral into multiple integrals.

$\int 3 d x + \int e^{x^{2}} d x$

Step 3

Apply the constant rule.

$3 x + C + \int e^{x^{2}} d x$

Step 4

$\int e^{x^{2}} d x$ is a special integral. The integral is the imaginary error function.

$3 x + C + erfi (x) + C$

Step 5

Simplify.

$3 x + erfi (x) + C$