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AP EAMCET202419 May 2024Evening ShiftMathematicsDefinite IntegrationActual

₀^ x ^4 x ^6 x d x=

Options

  1. A3 ^2 512
  2. B3 ^2 256
  3. C^2 256
  4. D^2 512

Correct answer

A. 3 ^2 512

Step-by-step solution

Let I= ₀^ x ^4 x ^6 x d x aligned & I= ₀^ ( -x) ^4( -x) ^6( -x) d x & I= ₀^ ( -x) ^4 x ^6 x d x & 2I=2 ₀^ / 2 ^4 x ^6 x d x & I= ( 3 1 5 3 1 10 8 6 4 2 2 )= 3 ^2 512 aligned

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