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MHT CET202121 Sep 2021Evening ShiftMathematicsIndefinite IntegrationActual

[ | x|+ | x|] d x=

Options

  1. A| x|+c
  2. B| x|+c
  3. Cx | x|+c
  4. Dx | x|+c

Correct answer

D. x | x|+c

Step-by-step solution

Let I = [ | x |+ | x |] dx Put x = t 1 x dx = dt dx = e ^ t dt aligned & I = ( + t) e ^ t d t & = e ^ t ( t + t) d t= e ^ t t + c = x | x |+ c aligned

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