ne of the roost difficult type of integrals. to calculate it}; hand are the integrals we get for arclength. Suppose we wish to calculate the arclengtlt of the curve 3; = 1% for x from 1 to It\". 'What is the intgral for calculating this arc length? What is. the result for Simpson's. rule, according to WolfrarnAlpha, accurate to 13 decimal places for 12 suhintervals? What is the absolute error in Sirnp son's rule according to Wolfrarruhlpha? I-Iotar are the results. of the left and right endpoint rnetltods related to the result of the trapezoidal rule? Which is more accurate, the midpoint or trapezoidal rule? I-Iotar touch more accurate? W What is the exact result, according to WolframAlpha, accurate to 14 decimal places? How does the Simpson's rule result compare to this exact result? How much more accurate is Boole's rule compared to Simpson's rule? Now use your calculator to calculate this integral. Calculator answer = Your calculator uses a method called Gauss-Kronrod quadrature. How do the results on your calculator compare to the results of Simpson's result?For this assignment you will use https://www.wolframalpha.com/ to calculate a Simpson's rule estimate for an integral and compare it results of other numerical integration techniques. Use the command Simpson's Rule on [1,7] with interval size 0.5 where your answer to the first question will fill in the blank. WolframAlpha will not only give you the results for Simpson's rule but also the the results for our other methods all at once! Use those results to answer the remaining questions