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AP EAMCET20228 Jul 2022Evening ShiftMathematicsDefinite IntegrationActual

₁^2 ⁻¹ ( x x^2+1 )+ ⁻¹ ( x^2+1 x ) d x=

Options

  1. A4
  2. B3 4
  3. C/ 4
  4. D/ 2

Correct answer

D. / 2

Step-by-step solution

I= ₁^2 ⁻¹ ( x x^2+1 )+ ⁻¹ ( x^2+1 x ) d x aligned & = ₁^2 ⁻¹ x x^2+1 + x^2+1 x 1- ( x x^2+1 x^2+1 x ) d x & = ₁^2 ⁻¹( ) d x= ₁^2 2 d x= [ 2 x ]₁^2= 2 (2-1)= 2 aligned

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