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AP EAMCET20228 Jul 2022Morning ShiftMathematicsDefinite IntegrationActual

₂^5 x+2 x-1 + x-2 x-1 d x=

Options

  1. A16 / 3
  2. B32 / 3
  3. C28 / 3
  4. D4 / 3

Correct answer

C. 28 / 3

Step-by-step solution

I= _q^5( x+2 x-1 + x-2 x-1 ) d x aligned & _ q ^5 ( ( x -1)^2+2 x -1 +1 + ( x -1)^2-2 x -1+1 ) dx & _ q ^5[( x -1 +1)+( x -1 -1)] dx aligned aligned & _ q ^5( x -1)^ 1 / 2 dx = q 2 3 [( x -1)^ 3 / 2 ]₂^5 & 4 3 [8-1]= 28 3 aligned

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