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NDA2017MathematicsIndefinite IntegrationActual

What is ⁻¹( x+ x) d x equal to?

Options

  1. Ax 4 + x^2 4 +c
  2. Bx 2 + x ^2 4 + c
  3. Cx 4 + x ^2 4 + c
  4. Dx 4 - x^2 4 +c

Correct answer

A. x 4 + x^2 4 +c

Step-by-step solution

aligned & ⁻¹( x+ x) d x & = ⁻¹ ( ( 4 + x 2 ) ) d x x+ x= 1+ x x aligned aligned & = ( 4 + x 2 ) d x & = x 4 + x^2 4 +c aligned

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