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AP EAMCET2012MathematicsIndefinite Integration

d x x^2 4+x^2 is equal to

Options

  1. A1 4 4+x^2 +C
  2. B-1 4 4+x^2 +C
  3. C-1 4 x 4+x^2 +C
  4. D9 4 x 4+x^2 +C

Correct answer

C. -1 4 x 4+x^2 +C

Step-by-step solution

aligned & Let I= d x x^2 4+x^2 &= d x x^3 4 x^2 +1 & Put 4 x^2 +1=t & - 8 x^3 d x=d t & I= d t -8 t &=- 1 8 l 1 / 2 +C &=- 1 4 4 x^2 +1 +C &=- 1 4 x 4+x^2 +C aligned

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