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AP EAMCET201824 Apr 2018Morning ShiftMathematicsIndefinite IntegrationActual

x^8-9 x^2+18 x^4-3 x^2+3 d x=

Options

  1. Ax^5 4 +x^3+6 x^2+c
  2. Bx^5 5 + x^4 4 +6 x+c
  3. Cx^5 5 +x^3+6 x+c
  4. Dx^5 5 - x^3 2 +6 x^2+c

Correct answer

C. x^5 5 +x^3+6 x+c

Step-by-step solution

x^8-9 x^2+18 x^4-3 x^2+3 d x degree of numerator is greater than degree of denominator so, x^8-9 x^2+18 is divided by x^4-3 x^2+3 We get quotient x^4+3 x^2+6 and 0 remainder, so aligned & x^8-9 x^2+18 x^4-3 x^2+3 d x= (x^4+3 x^2+6 ) d x & = x^5 5 + 3 x^3 3 +6 x+c= x^5 5 +x^3+6 x+c . aligned

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