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AP EAMCET202422 May 2024Evening ShiftMathematicsIndefinite IntegrationActual

If 13 x+43 2 x^2+17 x+30 = A 2 x+5 + B x+6 then A+B=

Options

  1. A8
  2. B18
  3. C3
  4. D5

Correct answer

A. 8

Step-by-step solution

aligned & 13 x+43 2 x^2+17 x+30 = A 2 x+5 + B x+6 & 13 x+43 2 x^2+17 x+30 = A (x+6)+ B (2 x+5) 2 x^2+17 x+30 & 13 x+43= A (x+6)+ B (2 x+5) & 13 x+43=( A +2 ~B ) x+6 ~A +5 ~B aligned On comparing, A +2 ~B =13 ...(i) 6 A+5 B=43 ...(ii) On solving (i) and (ii) we get A=3, B=5 A+B=8

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