$\"\"$

The integral is $\"\"$ .

Rewrite the integral.

$\"\"$ .

Trigonometric identity: $\"\"$ .

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

Consider the antiderivative function by taking $\"\"$ as $\"\"$ .

Graph :

Graph the integrand function $\"\"$ and its antiderivative $\"\"$ .

$\"\"$

Observe the graph,

When $\"\"$ is negative, then $\"\"$ is decreasing and $\"\"$ is positive , then $\"\"$ is increasing.

Hence the curve $\"\"$ is derivative of the curve $\"\"$ .

Therefore, $\"\"$ is antiderivative of the integrand function $\"\"$ .

$\"\"$

$\"\"$ .

Graph :

$\"\"$ .