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NDA2012MathematicsIndefinite IntegrationActual

What is (x^2+1 )^ 5 2 x d x equal to?

Options

  1. A(x^2+1 )^ 7 2 +c
  2. B2 7 (x^2+1 )^ 7 2 +c
  3. C1 7 (x^2+1 )^ 7 2 +c
  4. DNone of the above

Correct answer

C. 1 7 (x^2+1 )^ 7 2 +c

Step-by-step solution

Put x^2+1=t aligned & 2 x=d x=d t & x d x= d t 2 (t)^ 5 / 2 d t 2 (C) & 1 2 t^ 7 / 2 7 / 2 +c= 1 7 (x^2+1 )^ 7 / 2 +c aligned

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