Calculus Examples

$\int (5 + x) d x$

Step 1

Remove parentheses.

$\int 5 + x d x$

Step 2

Split the single integral into multiple integrals.

$\int 5 d x + \int x d x$

Step 3

Apply the constant rule.

$5 x + C + \int x d x$

Step 4

By the Power Rule, the integral of $x$ with respect to $x$ is $\frac{1}{2} x^{2}$ .

$5 x + C + \frac{1}{2} x^{2} + C$

Step 5

Simplify.

$5 x + \frac{1}{2} x^{2} + C$