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AP EAMCET2002MathematicsDefinite Integration

_ - / 2 ^ / 2 ^4 x ^6 x d x is equal to

Options

  1. A3 128
  2. B3 256
  3. C3 572
  4. D3 64

Correct answer

B. 3 256

Step-by-step solution

aligned & _ - / 2 ^ / 2 ^4 x ^6 x d x=2 ₀^ / 2 ^4 x ^6 x d x &= 2 4+1 2 ! 6+1 2 ! 2 4+6+2 2 ! &= 3 2 1 2 5 2 3 2 1 2 5 4 3 2 1 = 3 256 aligned

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