$\"\"$

\

The area under the curve $\"\"$ in between $\"\"$ and $\"\"$ is $\"\"$ .

\

Therefore $\"\"$

\

Substitute $\"\"$ in the above equation.

\

$\"\"$

\

Integral of hyperbolic function : $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Since $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

Graph:

\

Graph of $\"\"$ .

\

$\"\"$

\

observe the graph:

\

The area under the curve is $\"\"$ for $\"\"$ and $\"\"$ .

\

$\"\"$

\

The area under the curve is $\"\"$ for $\"\"$ and $\"\"$ .