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JEE Main2012MathematicsIndefinite IntegrationActual

If the integral 5 x x-2 d x=x+a | x-2 x|+k , then a is equal to

Options

  1. A-1
  2. B-2
  3. C1
  4. D2

Correct answer

D. 2

Step-by-step solution

5 x x-2 d x= 5 x x-2 x d x [ 2( x+2 x)+( x-2 x) x-2 x ] d x=2 ( x+2 x x-2 x ) d x+ d x+k=2 | x-2 x|+x+k a=2

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