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NDA2010MathematicsIndefinite IntegrationActual

What is ^n x x d x equal to? where c is a constant of integration.

Options

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

Correct answer

A. ^n x n +c

Step-by-step solution

aligned & ^n x x d x & = ^ n-1 x x x d x & Put x=u & x x d x=d u & = u^ n-1 d u= u^n n = ^n x n +c aligned

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