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NDA2024MathematicsDefinite IntegrationActual

What is ₀^ 2 a+ x 2 a+ x+ x d x equal to?

Options

  1. A4
  2. B2
  3. C1
  4. D0

Correct answer

A. 4

Step-by-step solution

Let, I = ₀^ 2 a+ x 2 a+ x+ x d x ....(i) I = ₀^ 2 a+ x 2 a+ x+ x d x ....(ii) Adding equation (i) and (ii) aligned 2 I & = ₀^ 2 2 a+ x+ x 2 a+ x+ x d x & = ₀^ 2 d x= 2 I & = 4 aligned

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