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MHT CET202620 April 2026Morning ShiftMathematicsIndefinite IntegrationActual

The value of 4x 3x , dx is

Options

  1. A- 1 14 7x - 1 2 x + c
  2. B- 1 14 7x + 1 2 x + c
  3. C1 14 7x - 1 2 x + c
  4. D1 14 7x + 1 2 x + c

Correct answer

A. - 1 14 7x - 1 2 x + c

Step-by-step solution

Let I = 4x 3x , dx Multiplying and dividing by 2 , we get: I = 1 2 2 4x 3x , dx Using the trigonometric identity 2 A B = (A+B) + (A-B) with A = 4x and B = 3x : I = 1 2 ( 7x + x) , dx Integrating with respect to x : I = 1 2 ( - 7x 7 - x ) + c I = - 1 14 7x - 1 2 x + c Answer: - 1 14 7x - 1 2 x + c

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