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MHT CET202611 April 2026Morning ShiftMathematicsDefinite IntegrationActual

If ₁^a (2x + 1) dx = 5 , then the sum of the values of a is..

Options

  1. A1
  2. B-1
  3. C7
  4. D-7

Correct answer

B. -1

Step-by-step solution

Evaluating the definite integral: ₁^a (2x + 1) dx = [x^2 + x]₁^a Substituting the limits: (a^2 + a) - (1^2 + 1) = 5 a^2 + a - 2 = 5 a^2 + a - 7 = 0 This is a quadratic equation in a . The sum of the roots of the equation is - 1 1 = -1 . Answer: -1

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