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The value of _ x 0 ₀^ x^2 ^2 t d t x x is

Options

  1. A3
  2. B2
  3. C1
  4. D-1

Correct answer

C. 1

Step-by-step solution

Let I^ = _ x 0 ₀^ x^2 ^2 t d t x x [ 0 0 . form ] Using L'Hospital's rule, = _ x 0 ^2 x^2 2 x x x+ x [ 0 0 form ] Again using L'Hospital's rule, aligned _ x 0 & 2 x 2 ^2 x^2 x^2 2 x+2 ^2 x^2 -x x+ x+ x & = 0+2 ^2 0 0+2 0 =1 aligned

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