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NDA2021MathematicsDefinite IntegrationActual

What is ₀^ ( x 2 ) d x equal to?

Options

  1. A0
  2. B1 2
  3. C1
  4. D2

Correct answer

A. 0

Step-by-step solution

aligned I & = ₀^ ( x 2 ) d x ... (i) I & = ₀^ ( ( 2 - x 2 ) ) d x & = ₀^ ( x 2 ) d x ... (ii) aligned Adding equation (1) and (2), we get 2 I = ₀^ ( x 2 ) d x+ ₀^ ( x 2 ) d x aligned 2 I & = ₀^ ( x 2 x 2 ) d x 2 I & = ₀^ ( x 2 1 x 2 ) d x I & = 1 2 ₀^ (1) d x ( 1=0) & I =0 aligned

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