Question
Asked Nov 13, 2019
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Evaluate the definite integal. 

[9,0] |2x − 9| dx. 

  
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Expert Answer

Step 1

Considering the mod of the function (2x-9):

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We know, for the range 0 to 9 2х -9<0 forx3D0 to 4.5 12.x-9(2x-9) 2x-9>0 for x = 4.5 to 9 12.x-9(2x-9)

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Step 2

Definite inte...

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45 9 2x- 9kx = [ -(2x -9)cx + J (2x-9)d 0 4.5 4.5 - 9x _ 4.5 =-[(20.25-40.5)-0]+[(81-81)-(20.25-40.5) = 20.25 20.25 = 40.5

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