$\"\"$

The integral is $\"\"$ .

Subustiute $\"\"$ .

Apply derivative on each side.

$\"\"$ .

Change of integral limits :

If $\"\"$ then $\"\"$ .

Limits of integration will change from $\"\"$ to $\"\"$ .

$\"\"$ .

Pythagorean identity : $\"\"$ .

$\"\"$

Double angle identity : $\"\"$ .

$\"\"$

$\"\"$ .

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$\"\"$ .