MAT 132 Study Guide - Final Guide: Polynomial Long Division, Minute And Second Of Arc, Improper Integral
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MAT 132 Full Course Notes
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Your ability to make your solution clear will be part of the grade. Useful formulas (cid:80)n (cid:80)n i=1 i3 = i=1 i = n(n+1) 6 sin2 + cos2 = 1. 1 tan a tan b sin a sin b = 1. 2 [cos(a b) cos(a + b)] cos a cos b = 1. 2 [cos(a b) + cos(a + b)] sin a cos b = 1. 2 [sin(a + b) + cos(a b)] sin2 x = 1. 2 (1 cos 2x) cos2 x = 1. Page 2 of 11 f (x) dx = 12 and the average value of f (x) on [3, 5] is 6. 0: 0, 2, 3, 6, 8, 9, 12, find the average value of f (x) = sin(x)e1 cos(x) on the interval [0, ], e2 e 1 e e 1. 2 : e2 1, e 1. Math 132: evaluate the de nite integral (cid:90) . 2 tan : x = 3 sec + 6.