NNOTE: Must write program in C.

3. Write a function double g (double y) to evaluate: 0yex2dx, for y>0 using the trapezoidal rule and an adaptive number of steps. Then write a program that reads in a number a>0, and a number of steps and then evaluates 0aey2g(y)dy using Simpson's rule with the given number of steps. Hint 1: There are two functions to integrate, so you will probably want two different functions in addition to main. Hint 2: You should use the C function exp(x) in math.h to get the value of ex