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AP EAMCET201822 Apr 2018Evening ShiftMathematicsIndefinite IntegrationActual

2 x^2-1+x^2 x^2+4 x^2 (x^2+4 ) d x=

Options

  1. A9 8 ⁻¹ x 2 + 1 4 x + ⁻¹ x 2 +c
  2. B9 8 ⁻¹ x 2 + 1 4 x + ⁻¹ x 2 +c
  3. C9 16 | x+2 x-2 |+ 1 4 x + | x+ x^2+4 2 |+c
  4. D9 16 | 2-x 2+x |+ 1 4 x + ⁻¹ x 2 +c

Correct answer

B. 9 8 ⁻¹ x 2 + 1 4 x + ⁻¹ x 2 +c

Step-by-step solution

aligned & 2 x^2-1+x^2 x^2+4 x^2 (x^2+4 ) d x= 9 4 & d x x^2+4 - 1 4 d x x^2 + d x x^2+4 & = 9 8 ⁻¹ ( x 2 )+ 1 4 x + ⁻¹ ( x 2 )+c . aligned

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