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AP EAMCET202124 Aug 2021Evening ShiftMathematicsIndefinite IntegrationActual

x-1 (x-2)(x-3) d x is equal to

Options

  1. A2 |x-3|+ |x-2|+c
  2. B|x-3|- |x-2|+c
  3. C|x-3|- |x+2|+c
  4. D| (x-3)^2 x-2 |+c

Correct answer

D. | (x-3)^2 x-2 |+c

Step-by-step solution

Let I= x-1 (x-2)(x-3) d x aligned & I= ( 2 x-3 - 1 x-2 ) d x & I= 2 x-3 d x- d x x-2 aligned aligned & I=2 (x-3)- (x-2)+c & I= (x-3)^2- (x-2)+c & I= (x-3)^2 x-2 +c aligned

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