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AP EAMCET202316 May 2023Evening ShiftMathematicsIndefinite IntegrationActual

If -x^2+6 x+1 (x-1)^2 (x^2+2 ) = A x-1 + B (x-1)^2 + C x-3 x^2+2 , then A + B + C =

Options

  1. A7
  2. B5
  3. C3
  4. D2

Correct answer

D. 2

Step-by-step solution

Given, aligned & -x^2+6 x+1 (x-1)^2 (x^2+2 ) = A (x-1) + B (x-1)^2 + C x-3 x^2+2 & A(x-1) (x^2+2 )+B (x^2+2 )+(C x-3) & (x-1)^2=-x^2+6 x+1 & If x=1 3 B=6 B=2 & and A+C=0 & Now, A+B+C=2 aligned

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