please do not copy the answer from the previously answered question as i will rate the answer unhelpful if you do$.$ I need an exact solution that considers the integration of the Rayleigh Density Function. If you are unsure of the solution, please don't answer it$.$

Question: The GE Haliade$-$X offshore turbine is currently the world's largest operational offshore wind turbine with a capacity of $14$ MW$.$ The turbine$$s blades are $107$m in length. You, following your success in the J$1$ module, are working with a wind farm developer. Your company wants to install these turbines off the West coast of Ireland at a location with an average wind speed of $8\mathrm{.}2$ m$/$s$.$

Assuming the total efficiency of the system including Cp is $38\%,$ calculate the annual energy produced by one of these turbines in this location assuming a Rayleigh distribution for wind speed.