5. The integral f0\"D 69\"2 dm is VERY important in statistics. Since 6\"2 does not have an elementary antiderivative, though, we often just estimate its value. Unfortunately, our integral estimation techniques require nite limits of integration. To get around this use the following steps: 00 00 (a) Explain why / 6\"'2 d2: S / 6'4\"\" dx. Note that saying \"I looked at the graphs\" is not 4 4 a sufficient explanation. 00 (b) Evaluate / 6'4\"\" dzc directly (as an improper integral), and conclude that it is VERY 4 small. 00 4 (c) Use your results from above to explain why / 6\"? dm m f e_\"\"2 dx. 0 0 oo 4 (d) Approximate / 6"\"2 dx by approximating / e'm2 dsc using Simpson's Rule with n = 8. o 0 (e) Using technology, we can nd that the actual value of the integral is very close to 0.886227. Treating this as the exact value, nd the error and relative error in your approximation from part (d)