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AP EAMCET2009MathematicsIndefinite Integration

If I_n= ^n x d x , then n I_n-(n-1) I_ n-2 equals

Options

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

Correct answer

C. - ^ n-1 x x

Step-by-step solution

We know that, if aligned & I_n= ^n x d x , then & I_n=- ^ n-1 x x n + n-1 n I_ n-2 aligned where n is a positive integer. n I_n-(n-1) I_ n-2 =- ^ n-1 x x

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