Calculus Examples

$\int \frac{6 + x^{2}}{x} d x$

Step 1

$\int \frac{6 + x^{2}}{x} d x$ is an antiderivative of $\frac{6 + x^{2}}{x}$ , so by definition $\frac{d}{d x} [\int \frac{6 + x^{2}}{x} d x]$ is $\frac{6 + x^{2}}{x}$ .

$\frac{6 + x^{2}}{x}$

Step 2

Reorder terms.

$\frac{x^{2} + 6}{x}$