Clicker Question 1. What is ? A. x tan( x 2 ) + C B. ½ (sec( x 2 ) + tan( x 2 )) + C C. ln |sec( x 2 ) + tan( x 2 )| + C D. ½ tan( x 2 ) + C E. ½ ln |sec( x 2 ) + tan( x 2 )| + C. Clicker Question 2. What is ? A. x 2 tan(x) + C
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Section 7.7 goes into much more detail on approximate integration than we need to, and defines Simpson’s Rule slightly differently, so just work from our notes please.
Do Exercise 3 on page 516 (note: no known way to use FTC on this one), but also compute the Simpson’s Rule estimate with n = 4 (i.e., use 9 data points) both using the weighted average of Trap and Mid and the (1-4-2-4-2-4-2-4-1) / 6 method.