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MHT CET202121 Sep 2021Evening ShiftMathematicsIndefinite IntegrationActual

If 5 x x-2 d x=x+a | x-2 x|+c , then a (Where c is constant of integration)

Options

  1. A1
  2. B-2
  3. C-1
  4. D2

Correct answer

D. 2

Step-by-step solution

Let I= 5 x x-2 d x I= 5 x x-2 x d x Here d d x ( x-2 x)= x+2 x aligned I & = (2 x+2 x+ x)+(2 x-2 x) x-2 x d x & = (2 x+ x)+(2 x+ x)+( x-2 x) x-2 x d x & = 2(2 x+ x)+( x-2 x) x-2 x d x & = d x+2 2 x+ x x-2 x d x & =x+2 | x-2 x|+c aligned From given data, a=2

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