Calculus Examples

$\frac{9}{\sqrt{1 - x^{2}}}$

Step 1

Since $9$ is constant with respect to $x$ , move $9$ out of the integral.

$9 \int \frac{1}{\sqrt{1 - x^{2}}} d x$

Step 2

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

$9 \int \frac{1}{\sqrt{1^{2} - x^{2}}} d x$

Step 3

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

$9 (\arcsin (x) + C)$

Step 4

Simplify.

$9 \arcsin (x) + C$