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AP EAMCET20227 Jul 2022Evening ShiftMathematicsIndefinite IntegrationActual

x^8+4 x^4-2 x^2+2 d x=A x^5+B x^3+C x+k , then 5 A+3 B+C=

Options

  1. A7
  2. B5
  3. C3
  4. D1

Correct answer

B. 5

Step-by-step solution

aligned & x^8+4 x^4-2 x^2+2 d x= x^8+4 x^4+4-4 x^4 x^4-2 x^2+2 d x & = (x^4+2 )^2- (2 x^2 )^2 x^4-2 x^2+2 d x= x^4+2+2 x^2 d x & = x^5 5 + 2 x^3 3 +2 x+k & A= 1 5 , B= 2 3 , C=2 & 5 A+3 B+C=5 aligned

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