$\"\"$

\

The integral is $\"\"$ .

\

The indicated trignometric subustitution is $\"\"$ .

\

Subustiute $\"\"$ and $\"\"$ .

\

$\"\"$ $\"\"$ .

\

$\"\"$

\

$\"\"$

\

From the pythagorean identity : $\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

Use the identity $\"\"$ .

\

$\"\"$

\

Apply the sum and difference rule of integration : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

The indicated trignometric subustitution is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

In the right triangle $\"\"$ and $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$ .

\

$\"\"$

\

$\"\"$

\

Associate Right Triangle :

\

$\"\"$

\

$\"\"$

\

$\"\"$ $\"\"$ .