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how to findintegration of ∫|x-4| dx and how to integrate ∫ |x|

Sreevignesh , 7 Years ago
Grade 12
anser 1 Answers
Nandana

Last Activity: 7 Years ago

It is simply like this ,
  ∫IxI = 2∫x
so, ∫Ix-4I = 2∫(x-4)
                =  x2 - 2x + c
        because it is an even function , isn’t it  ?
  if we apply limits ,
        Ex : ∫-22 IxI = 2 ∫02 x = 4
      
 
 

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