Calculus Examples

$(x - 1)$

Step 1

Remove parentheses.

$\int x - 1 d x$

Step 2

Split the single integral into multiple integrals.

$\int x d x + \int - 1 d x$

Step 3

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

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

Step 4

Apply the constant rule.

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

Step 5

Simplify.

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