Calculus Examples

$1 + x$

Step 1

Split the single integral into multiple integrals.

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

Step 2

Apply the constant rule.

$x + C + \int x d x$

Step 3

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

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

Step 4

Simplify.

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