Show that 1 0 dx 1 + x2 = 4 [use Eq. (3) in Section 5.8]. (a) Use a computer algebra
Chapter 7, Problem 51(choose chapter or problem)
Show that 1 0 dx 1 + x2 = 4 [use Eq. (3) in Section 5.8]. (a) Use a computer algebra system to graph the function f (4) for f (x) = (1 + x2)1 and find its maximum on [0, 1]. (b) Find a value of N such that SN approximates the integral with an error of at most 106. Calculate the corresponding approximation and confirm that you have computed 4 to at least four places.
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