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KCET2017MathematicsFunctions

( _ -5 ⁵|x+2| d x ) is equal to

Options

  1. A( 29 )
  2. B(1)
  3. C( 27 )
  4. D( 30 )

Correct answer

A. ( 29 )

Step-by-step solution

Given that, ( _ -5 ⁵|x+2| d x ) [ array l = _ -5 ⁻²|x+2| d x+ _ -2 ⁵|x+2| d x =- _ -5 ⁻²(x+2) d x+ _ -2 ⁵(x+2) d x =- [ x² 2 +2 x ]_ -5 ⁻²+ [ x² 2 +2 x ]_ -2 ⁵ =- ( 4-25 2 )-2(-2+5)+ 25-4 2 +2(5+2) = 21 2 + 21 2 -6 4=21+8=29 array ]

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