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13 Nov 2019
Suppose that in an engineering application you needed to compute 0 As we have discussed, it is impossible to evaluate this integral by the usual method of finding an antiderivative in closed form. Approximate the value of this integral as follows: 1. Find a power series for e 2. Integrate the power series term by term to get a new power series for d 3. Write out the first five non-zere terms of the series you just found, without summation notation 4. Evaluate this polynomial between 0 and 1. (Plug in 1 and subtract what you get when you plug in 0). Report your result accurately to six decimal places 5. Now write out the first six non-zero terms and repeat step 4, to see how much additional accuracy is gained. (You have already done most of the work) Write your results legibly on a separate sheet(s) of paper, with your name on it of course showing all work. Keep this page for your notes
Suppose that in an engineering application you needed to compute 0 As we have discussed, it is impossible to evaluate this integral by the usual method of finding an antiderivative in closed form. Approximate the value of this integral as follows: 1. Find a power series for e 2. Integrate the power series term by term to get a new power series for d 3. Write out the first five non-zere terms of the series you just found, without summation notation 4. Evaluate this polynomial between 0 and 1. (Plug in 1 and subtract what you get when you plug in 0). Report your result accurately to six decimal places 5. Now write out the first six non-zero terms and repeat step 4, to see how much additional accuracy is gained. (You have already done most of the work) Write your results legibly on a separate sheet(s) of paper, with your name on it of course showing all work. Keep this page for your notes
Trinidad TremblayLv2
6 Mar 2019