(a) Use software such as Desmos or Wolfram Alpha to find an approximation to the following...

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(a) Use software such as Desmos or Wolfram Alpha to find an approximation to the following definite integral: 4 Sª e(x-2) dx. Do the same for the following definite integral: 4 [²² 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.¹ Try plotting the first term in the right hand side of the footnote and see if you notice anything. (a) Use software such as Desmos or Wolfram Alpha to find an approximation to the following definite integral: 4 Sª e(x-2) dx. Do the same for the following definite integral: 4 [²² 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.¹ Try plotting the first term in the right hand side of the footnote and see if you notice anything.

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a Using software we can approximate the definite integrals 01 ex24 dx 0153 01 xex2 dx 0367 Divid... View the full answer