$\"\"$

\

The integral is $\"\"$ .

\

Find the integral using integration by parts.

\

Formula for integration by parts is $\"\"$ .

\

Here consider $\"\"$ and $\"\"$ .

\

Consider $\"\"$ .

\

Apply derivative on each side with respect to $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Consider $\"\"$ .

\

$\"\"$

\

$\"\"$ .

\

Substitute corresponding values in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Again apply integration by parts :

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

$\"\"$

\

Consider the integrand as $\"\"$ .

\

Graph :

\

Graph the function $\"\"$ on $\"\"$ .

\

$\"\"$

\

Observe the graph :

\

The value of the definite integral is $\"\"$ .

\

$\"\"$

\

$\"\"$ .