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NDA2022MathematicsIndefinite IntegrationActual

What is ( x)^ 1.5 -( x)^ 1.5 x x d x equal to?

Options

  1. Ax - x +c
  2. Bx + x +c
  3. C2 x +2 x +c
  4. D1 2 x + 1 2 x +c

Correct answer

C. 2 x +2 x +c

Step-by-step solution

aligned & I= ^ 3 / 2 x- ^ 3 / 2 x ^ 1 / 2 x ^ 1 / 2 x d x & ( ^ -1 / 2 x x- ^ -1 / 2 x x ) d x & =2 ^ 1 / 2 x+2 ^ 1 / 2 x+C=2 x +2 x +C aligned

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