Calculus Examples

$\int (- 6 + x^{3}) d x$

Step 1

Remove parentheses.

$\int - 6 + x^{3} d x$

Step 2

Split the single integral into multiple integrals.

$\int - 6 d x + \int x^{3} d x$

Step 3

Apply the constant rule.

$- 6 x + C + \int x^{3} d x$

Step 4

By the Power Rule, the integral of $x^{3}$ with respect to $x$ is $\frac{1}{4} x^{4}$ .

$- 6 x + C + \frac{1}{4} x^{4} + C$

Step 5

Simplify.

$- 6 x + \frac{1}{4} x^{4} + C$