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JEE Main202127 Aug 2021Morning ShiftMathematicsDefinite IntegrationActual

∫ 6 16 log e x 2 log e x 2 + log e x 2 - 44 x + 484 d x is equal to

Options

  1. A5
  2. B10
  3. C8
  4. D6

Correct answer

A. 5

Step-by-step solution

Let ∫ 6 16 log e x 2                                     d x log e x 2 + log e x 2 - 44 x + 484 ∫ 6 16 log e x 2 log e x 2 + log e x - 22 2 d x             . . . . . ( 1 ) We know ∫ a b f x d x = ∫ a b f a + b - x d x So, ∫ 6 16 log e 22 - x 2 log e 22 - x 2 + log e 22 - 22 - x 2 d x I = ∫ 6 16 log e 22 - x 2 log e x 2 + log e 22 - x 2 dx       &#

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