Calculus Examples

$\int \frac{1}{\sqrt{36 - x^{2}}} d x d x$

Step 1

Rewrite $36$ as $6^{2}$ .

$\int \frac{1}{\sqrt{6^{2} - x^{2}}} d x d x$

Step 2

The integral of $\frac{1}{\sqrt{6^{2} - x^{2}}}$ with respect to $x$ is $\arcsin (\frac{x}{6})$

$(\arcsin (\frac{x}{6}) + C) d x$

Step 3

Rewrite $(\arcsin (\frac{x}{6}) + C) d x$ as $\arcsin (\frac{1}{6} x) d x + C$ .

$\arcsin (\frac{1}{6} x) d x + C$