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AP EAMCET2002MathematicsDefinite Integration

₂^3 d x x^2-x is equal to

Options

  1. A2 3
  2. B4 3
  3. C8 3
  4. D1 4

Correct answer

B. 4 3

Step-by-step solution

We have, aligned ₂^3 d x x^2-x & = ₂^3 1 x(x-1) d x & = ₂^3 [- 1 x + 1 x-1 ] d x & = [ x-1 x ]₂^3= 2 3 - 1 2 = 4 3 aligned

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