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AP EAMCET201923 Apr 2019Morning ShiftMathematicsIndefinite IntegrationActual

If ( 4 x+1 x- x d x=k 4 x+c ), then (k ) is

Options

  1. A(- 1 2 )
  2. B(- 1 4 )
  3. C(- 1 8 )
  4. D-1

Correct answer

C. (- 1 8 )

Step-by-step solution

( aligned & 4 x+1 x- x d x & = 2 ^2 2 x ^2 x- ^2 x x x d x & = ^2 2 x 2 x 2 x d x= 2 x 2 x d x & = 1 2 4 x d x=- 1 8 4 x+c aligned ) So, ( k=- 1 8 ) Hence, option (c) is correct.

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