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NDA2011MathematicsIndefinite IntegrationActual

What is ⁻¹( x) d x equal to? where k is a constant of integration.

Options

  1. Ax 2 - x^2 2 +k
  2. B2 + x^2 2 +k
  3. C- x 2 - x^2 2 +k x
  4. D2 - x^2 2 +k

Correct answer

A. x 2 - x^2 2 +k

Step-by-step solution

aligned & ⁻¹( x) d x & = ⁻¹ ( 2 )-x d x aligned aligned & = ( 2 -x ) d x [ ⁻¹( x)=x ] & = 2 x- x^2 2 +c . aligned

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