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how to find integration of ∫|x-4| dx and how to integrate ∫ |x|

how to find  integration of ∫|x-4| dx and how to integrate ∫ |x|

Grade:12

1 Answers

Nandana
110 Points
4 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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