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JEE Main20246 Apr 2024Morning ShiftMathematicsDefinite IntegrationActual

₀^ / 4 ^2 x ^2 x ( ^3 x+ ^3 x )^2 d x is equal to

Options

  1. A1 / 6
  2. B1 / 3
  3. C1 / 12
  4. D1 / 9

Correct answer

A. 1 / 6

Step-by-step solution

Divide Nr & Dr by x ₀^ / 4 ^2 x ^2 x d x (1+ ^3 x )^2 d x Let 1+ ^3 x = t aligned & ^2 x ^2 x d x= d t 3 & 1 3 ₁^2 dt t ^2 = 1 6 aligned

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