Python problem

Make a function defined as: def GaussIntegration(fcn, a, b, n=4):

Purpose: use the Gauss Integration method to estimate the integral of fcn(x), between the limits of a and b.

fcn: the function we want to integrate

a and b: the lower and upper limits of integration

n: The number of integration points used. The only acceptable values are 2, 3 and 4. If a value other that 2, 3 or 4 is passed, use n = 4.

return value: the estimate of the integral

Write and call a main() function that uses your GaussIntegration function to estimate and print the integral of:

x - 3 * cos(x) , with a = 1, b = 3 and n = 4

x - 3 * cos(x) , with a = 1, b = 3 and n = 5

cos(2x)*x³, with a = 2, b = 3 and n = 2