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AP EAMCET202017 Sep 2020Morning ShiftMathematicsDefinite IntegrationActual

The value of (x ) that satisfies the equation ( _ 2 ^x d t |t| t^2-1 = 12 ) is

Options

  1. A1
  2. B0
  3. C(- 2 )
  4. D2

Correct answer

D. 2

Step-by-step solution

( aligned & _ 2 ^x d t |t| t^2-1 = 12 & [ ⁻¹ t ]_ 2 ^x= 12 ⁻¹ x- ⁻¹ 2 = 12 & ⁻¹ x= 12 + 4 = 3 & x= ( 3 )=2 aligned )

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