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COMEDK2024MathematicsIndefinite Integration

The value of 1 1- 4 x d x is

Options

  1. A2 x+c 2
  2. B- 2 x+c 4
  3. C2 2 x+c
  4. D- 2 x+c 2

Correct answer

B. - 2 x+c 4

Step-by-step solution

aligned & Let I= 1 1- 4 x d x & I= 1 2 ^2 2 x d x [ 1- 2 =2 ^2 ] & I= 1 2 cosec ^2 2 x d x aligned aligned & I= 1 2 [ - 2 x 2 ]+c & [ cosec ^2 =- +c ] & I= -1 4 2 x+c aligned

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