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AP EAMCET202021 Sep 2020Evening ShiftMathematicsIndefinite IntegrationActual

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

Options

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

Correct answer

C. (k= -1 8 )

Step-by-step solution

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

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