Write a function to generate a parabola centered at the origin with a focus point at (0, a), where a is a non-zero real number. Then using the mclapply and integrate functions, write a parallel R code...

Write a function to generate a parabola centered at the origin with a focus point at (0, a), where a is a non-zero real number. Then using the mclapply and integrate functions, write a parallel R code to compute the area under the parabola in the range [−b, b], where −b and b are integers.