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AP EAMCET202315 May 2023Evening ShiftMathematicsIndefinite IntegrationActual

If f(x)= 5 x^8+7 x^6 (x^2+2 x^7+1 )^2 d x(x 0) and f(0)=0 , then the value of f(1)=

Options

  1. A-1 2
  2. B-1 4
  3. C1 4
  4. D1 2

Correct answer

C. 1 4

Step-by-step solution

aligned & Given f(x)= 5 x^8+7 x^6 (x^2+2 x^7+1 )^2 d x & f(x)= 5 x⁻⁶+7 x⁻⁸ ( 1 x^7 + 1 x^5 +2 )^2 = 1 2+ 1 x^7 + 1 x^5 +c aligned Since, f(0)=0 c=0 f(1)= 1 4

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