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AP EAMCET2011MathematicsIndefinite Integration

If ^8 x- ^8 x 1-2 ^2 x ^2 x d x=A 2 x+B , then A is equal to

Options

  1. A- 1 2
  2. B-1
  3. C1 2
  4. D1

Correct answer

A. - 1 2

Step-by-step solution

aligned & Let I= ^8 x- ^8 x 1-2 ^2 x ^2 x d x & = ( ^4 x+ ^4 x ) / ( ^4 x- ^4 x ) ( ^2 x+ ^2 x )^2-2 ^2 x ^2 x d x & = ( ^2 x+ ^2 x ) ( ^2 x- ^2 x ) d x & =- 2 x d x=- 2 x 2 +B & But I=A 2 x+B & A=- 1 2 aligned

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