Can you write the solution with python?

(25pts) Area of the ellipse. Equation of an ellipse with long axis a and short axis b is given as: a2x2+b2y2=1 By considering the surface area in the first quadrant, the area of this ellipse is S and S=40ay(x)dx Write a program that calculates this expression using the Trapezoidal formula for the values a=2,b=1, and compare it with the exact result, S=ab