Calculus Examples

$\int \frac{1}{\sqrt{4 - x^{2}}} d x$

Step 1

This integral could not be completed using u-substitution. Mathway will use another method.

Step 2

Rewrite $4$ as $2^{2}$ .

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

Step 3

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

$\arcsin (\frac{x}{2}) + C$

Step 4

Rewrite $\arcsin (\frac{x}{2}) + C$ as $\arcsin (\frac{1}{2} x) + C$ .

$\arcsin (\frac{1}{2} x) + C$