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Most Important Selected Qs for JEE AdvancedMathematicsDefinite Integration

_ x ₀^ x^2 / 2 t^2 x^2 (1+t^2 ) d t is equal to

Options

  1. A1 4
  2. B1 2
  3. C1
  4. Dnone of these

Correct answer

B. 1 2

Step-by-step solution

_ x ₀^ x^2 / 2 t^2 x^2 (1+t^2 ) d t= form _ x ₀^ x^2 / 2 t^2 (1+t^2 ) d t x^2 = _ x x^4 4+x^4 x 2 x = _ x x^5 2 x^5+8 = 1 2

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