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26 - Tables

# 26 - Tables - Tables Formulas are in the back of the...

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Unformatted text preview: Tables Formulas are in the back of the book. "a,b,c" are constants any real number. Any limitations are written out. (ex. a < 0) Ex. 6x - x 2 dx u-a a2 a - u 2au - u 2 du = 2au - u 2 + cos -1 +C a 2 2 #113 Ex. #60 x x - 2 dx u n 3 2 n a + bu du = u ( a + bu ) 2 - na u n -1 a + bu du b(2n + 3) Ex. sec 3 ( 2x ) dx 1 1 sec 3 u du = secu tan u + ln secu + tan u + C #71 2 2 Ex. e un e x - 2 dx Can this be done by #60? 3 2 n a + bu du = u ( a + bu ) 2 - na u n -1 a + bu du b(2n + 3) x Do. Use the accompanying formula to evaluate the following integrals. 1. 4 - 3x 2 dx x #32 a2 - u 2 a + a2 - u 2 2 2 du = a - u - a ln +C u u tan x dx 2. ln(cos x) 1 #102 u ln u du = ln ln u + C From one of my old tests: One of the following formulas is the correct one to use to evaluate a. 4 x - x dx 2au - u2 2au - u 2 u-a a2 a - u du = 2au - u 2 + cos-1 +C 2 2 a 2u2 - au - 3a2 a3 a - u 2 du = 2au - u + cos-1 +C 6 2 a b. u c. 2au - u2 du = u a - u 2au - u 2 + acos-1 +C a 1. Which formula should you use? ____________ 2. Evaluate the integral using the formula that you chose. ...
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