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NDA2010MathematicsDefinite IntegrationActual

What is ₀^ / 2 ^2 x ^3 x+ ^3 x d x ?

Options

  1. A2
  2. B4
  3. C0

Correct answer

C. 0

Step-by-step solution

I = ₀^ / 2 ^3 x ^3 x+ ^2 x d x ...(i) aligned & I = ₀^ / 2 ( 2 -x₁ ) ^3 ( 2 -x )+ ^3+ ( 2 -x ) ^3 d x d x & I = ₀^ / 2 ^3 x ^3 x+ ^3 x d x aligned ...(ii) aligned & from equation (i)+(i i) & 2 I = ₀^ / 2 ^3 x+ ^3 x ^3 x+ ^3 x d x & or 2 I =x= [ 2 -0 ] I = 4 . aligned

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