Calculus Examples

$\int x - 3 d x$

Step 1

Split the single integral into multiple integrals.

$\int x d x + \int - 3 d x$

Step 2

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

$\frac{1}{2} x^{2} + C + \int - 3 d x$

Step 3

Apply the constant rule.

$\frac{1}{2} x^{2} + C - 3 x + C$

Step 4

Simplify.

$\frac{1}{2} x^{2} - 3 x + C$