Calculus Examples

$\int \frac{\sqrt{4}}{x} d x$

Step 1

Since $\sqrt{4}$ is constant with respect to $x$ , move $\sqrt{4}$ out of the integral.

$\sqrt{4} \int \frac{1}{x} d x$

Step 2

The integral of $\frac{1}{x}$ with respect to $x$ is $\ln (| x |)$ .

$\sqrt{4} (\ln (| x |) + C)$

Step 3

Rewrite $\sqrt{4} (\ln (| x |) + C)$ as $2 \ln (| x |) + C$ .

$2 \ln (| x |) + C$