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AP EAMCET20226 Jul 2022Evening ShiftMathematicsDefinite IntegrationActual

₀^ ^2 / 4 (2 x + x x ) d x=

Options

  1. A2
  2. B^2 2
  3. C^2

Correct answer

C. ^2

Step-by-step solution

aligned & Let I= ₀^ ^2 / 4 2 x + x x d x & aligned & I= 2 ₀^ ^2 / 4 x d x+ ₀^ ^2 / 4 x x d x & .=2[x x ]₀^ ^2 / 4 -2 ₀^ ^2 / 4 d d x ( x ) 1 d x ] d x &+ ₀^ ^2 / 4 x x d x &= 2 [ ^2 4 ]-2 ₀^ ^2 / 4 x 1 2 x x d x & I=+ ₀^ ^2 / 4 x x d x & 4= ^2 2 aligned aligned

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