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MHT CET2009MathematicsIndefinite Integration

₅¹⁰ 1 (x-1)(x-2) d x is equal to

Options

  1. A27 32
  2. B32 27
  3. C8 9
  4. D3 4

Correct answer

B. 32 27

Step-by-step solution

Let I= ₅¹⁰ 1 (x-1)(x-2) d x = ₅¹⁰ [ -1 x-1 + 1 x-2 ] d x=[- (x-1)+ (x-2)]₅¹⁰=- 9+ 8+ 4- 3=-2 3+3 2+2 2- 3=-3 3+5 2=- 27+ 32= 32 27

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