Coding with Python...

Theory In this homework we will compute approximations to the integral One method for doing this is by using the composite trapezoidal rule, given by the formula n-1 where a a(b- a), h Then lh 1 and the approximation gets better the smaller h is, i.e. the more points we divide the interval into. (Compare with the definition of the Riemann integral.) Task 1 Write a function ctrapezoidal (f, a, b, n) which implements the trape- zoidal approximation (2). Test this function for different n and compare your result to the exact integral. (Choose a simple function f that you can integrate by hand, e.g. e". However, don't make it too simple.)