(a) Use software such as Desmos or Wolfram Alpha to find an approximation to the following definite integral: 4 S e(x-2) dx. Do the same for the following definite integral: 4 [ If you divide the bigger number by the smaller, what do you get? Hint: If you didn't get a positive integer, you probably inputted one or more integrals wrong somehow. re(x-2)4 dx. (b) Prove that your observation is in fact exactly true. You may find it useful to use u-substitution along with a hefty dose of symmetry. Hint: The values of the definite integrals in part (a) have no known closed forms! This suggests that trying to get exact values for the integrals will be a dead end. Hint 2: If you are still stuck, see the footnote. Try plotting the first term in the right hand side of the footnote and see if you notice anything.