Calculus Examples

$\frac{1}{x \sqrt{x^{2} - 1}}$

Step 1

Rewrite $1$ as $1^{2}$ .

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

Step 2

The integral of $\frac{1}{x \sqrt{x^{2} - 1^{2}}}$ with respect to $x$ is $arcsec (| x |)$

$arcsec (| x |) + C$