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Warmup 1/12/16 When you accept Christ, are you saved no matter what? Or is it possible to lose that salvation? Objective Tonight’s Homework To learn a few more properties of the definite integral pp 300: 1, 3, 7, 8, 9, 11 Homework Help Let’s spend the first 10 minutes of class going over any problems with which you need help. Notes on Definite Integral Properties We’ve covered a number of things about the definite integral (area under a curve). Today, we want to summarize some of those rules. b b b ∫a(f(x) + g(x)) dx = (∫af(x) dx) + ( ∫ag(x) dx) b b a ∫ak f(x) dx = k ∫af(x) dx b ∫a f(x) dx = 0 a ∫a f(x) dx = - ∫b f(x) dx b c c ∫a f(x) dx +∫b f(x) dx = ∫a f(x) dx If g(x) < f(x) on [a, b] then b b ∫ag(x) dx <∫af(x) dx Group Practice Look at the example problems on pages 298 and 300. Make sure the examples make sense. Work through them with a friend. Then look at the homework tonight and see if there are any problems you think will be hard. Now is the time to ask a friend or the teacher for help! pp 300: 1, 3, 7, 8, 9, 11 Exit Question Find the integral of x3 + 2x - 5 from -2 to 2 a) 0 b) 8 c) 13 d) 18 e) 23 f) None of the above