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NDA2015MathematicsDefinite IntegrationActual

Consider the integral I_m= ₀^ 2 m x x d x , where m is a positive integer. . Consider the following: 1. I_m-I_ m-1 is equal to 0 . 2. I_ 2 m I_m Which of the above is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

I _ 2 ~m I _ m is wrong statement Because, I _ m = I _ m -1 = . .= I _ n Thus, I _ m - I _ m -1 =0 is the only correct statement. Option (A) is correct.

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