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AP EAMCET20228 Jul 2022Morning ShiftMathematicsDefinite IntegrationActual

_ / 11 ^ 9 / 22 d x 1+ x =

Options

  1. A/ 4
  2. B/ 22
  3. C/ 11
  4. D7 / 44

Correct answer

D. 7 / 44

Step-by-step solution

I= _ 11 ^ 9 22 d x 1+ x I= _ 11 ^ 9 22 x x + x d x ...(i) = _ 11 ^ 9 22 ( 9 22 + 11 -x ) ( 9 22 + 11 -x ) + ( 9 22 + 11 -x ) d xI= _ 11 ^ 9 22 x x + x d x ...(ii) Adding (i) and (ii) aligned & = _ 11 ^ 9 22 1 dx =[ x ]_ / 11 ^ 9 / 22 & = 7 22 I = 7 44 aligned

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