Question: Use matlab. Need done correctly and quickly. Also post code below thanks Consider the following definite integral: .ex dx Using the switch statement, write a
Consider the following definite integral: .ex dx Using the switch statement, write a program that prompts the user to select an integral approximation method (Midpoint, Trapezoidal, or Simpson's). The program then calculates and returns: the selected integral approximation value, the actual integral value, and the approximation error. Use four subintervals (n = 4) on the closed interval from x = 0 to x = 2 for each approximation. HINT: Use the built-in function int with a symbolic variable to find the actual integral value. Below is an example of running the program and selecting the midpoint approximation: Integral Approximation of (1/2)^(x^2) from (0,2) with n = 4 Approximation Methods: 1. Midpoint 2. Trapezoidal 3. Simpson's Please select a method: 1 The midpoint approximation is 7.2428 The actual value is 8.2263 The error is 0.9835
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