A cable hangs between two poles `14` yards apart. The cable forms a catenary that can be modeled by the equation `y=14 cosh(x/14)-13` between `x=-7` and `x=7`.

Find the area under the catenary.

`\text{Area } \approx`   `\text{yards}^2`

Round your answer to four decimal places.

Hint

Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity