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COMEDK2013MathematicsDefinite Integration

₀^ / 8 ³ 4 d is equal to

Options

  1. A5 3
  2. B5 4
  3. C1 3
  4. D1 6

Correct answer

D. 1 6

Step-by-step solution

Let aligned I &= ₀^ / 8 ³ 4 d = ₀^ / 8 12 +3 4 4 d &= 1 4 [ 12 12 + 3 4 4 ]₀^ / 8 = 1 4 [ 1 12 3 2 + 3 4 2 ] &= 1 4 [- 1 12 + 3 4 ]= 1 4 ( -1+9 12 )= 8 4 12 = 1 6 aligned

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