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NTA Abhyas JEE Main2020MathematicsIndefinite IntegrationPractice

If ∫ 2 x 2 + 5 x 2 + a d x = f x , where f x is a polynomial or ratio of polynomials, then the number of possible value(s) of a is equal to

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

f x = ∫ 2 x 2 + a + 5 - 2 a x 2 + a d x = 2 x + 5 - 2 a ∫ d x x 2 + a If f x is polynomial, a = 5 2 If f x is ratio of polynomials, a = 0 Therefore, the possible values of a is 2 .

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