Question: Python question: Exercise 6.1 (5 points) One of the main applications of numerical integration is for calculating integrals for cases in which an analytical solution

Python question:  Python question: Exercise 6.1 (5 points) One of the main applications

Exercise 6.1 (5 points) One of the main applications of numerical integration is for calculating integrals for cases in which an analytical solution cannot be found. An example of such an integral is the Gaussian integral which is important for example in calculations involving the normal distribution: I(x)et dt (a) Write a function that would calculate the above integral for a given x and a given step dx. The function should use the trapezoidal rule to calculate the integral. (b) Use the above function to plot the value of the integral for values of x from 0 to 5 in steps of 0.1. The dx used should be no larger than 0.01. As x increases, is the obtained estimation for the integral consistent with the expected value in the limit Note: check http://mathworld.wolfram.com/GaussianIntegral.html, for the expected limit value

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