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NDA2018MathematicsIndefinite IntegrationActual

What is ^3 x x d x equal to? Where c is the constant o integration.

Options

  1. A^4 x + c
  2. B^4 x+c
  3. C(1- ^2 x )^2 4 +c
  4. D(1- ^2 x )^2 4 +c

Correct answer

D. (1- ^2 x )^2 4 +c

Step-by-step solution

Let t= x d t= x d x aligned & ^3 x x d x= t^3 d t= t^4 4 +c= ^4 x 4 +c & = (1- ^2 x )^2 4 +c aligned

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