Write a program that computes an approximation of a definite integral for the fu

Question

Write a program that computes an approximation of a definite integral for the functions f(x) = e^(-x^2) and f(x) = e^(-x) with a = 0 and b = 1. The program should use the trapezoidal integration rule:

h = (b-a) / N

The program should include a function "trapeze" that computes and returns the value of the integral of a function passed as a parameter. Other parameters of "trapeze" are the bounds a and b and the number of intervals N. The program should read the value of N from input as in the example below.

Your program should reproduce the following format [THIS IS AN EXAMPLE OUTPUT]

Enter the number of intervals: 20

integral of exp(-x*x): 0.746671

integral of exp(-x): 0.632252

Explanation / Answer

http://introcs.cs.princeton.edu/java/93integration/

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