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MAT136H1 (14)

# Average Value

1 Page
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Department
Mathematics
Course Code
MAT136H1
Professor
Anthony Lam

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Description
Key Concept Summary These problems are fairly simple and are on almost all of the past term tests. b 1 Simple use the following formula:  b−a∫f(x)dx a Step­by­Step example: Find the average value of f(x) = 2 + 3x on the interval [1,3]. 3 = 1 (2 + 3x )dx 3−11∫ 3 1 2 = 2∫(2 + 3x )dx 1 1 3 3  = 2[2x + x ]1           = 1[2(3) + 33] − 1[2(1) + 13] = (33) − (3) = 15  2    2    2 2 Sample Questions: 2005, 7) The average value of f(x) = 3 + 2x + 4x on the interval [0,2 ] is a) 13 b) 18 c) 8 d) 10 e)15 2 2006, 7) The average value of f(x) = 1 + 3x on [1,4 ] is a) 22 b) 18 c) 21 d) 19 e)20 2007, 4)
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