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MHT CET202121 Sep 2021Evening ShiftMathematicsDefinite IntegrationActual

₅¹⁰ d x (x-1)(x-2) =

Options

  1. A| 27 32 |
  2. B| 3 4 |
  3. C| 8 9 |
  4. D| 32 27 |

Correct answer

D. | 32 27 |

Step-by-step solution

aligned & I= ₅¹⁰ d x (x-1)(x-2) & = ₅¹⁰ [ 1 x-1 - 1 x-2 ](-1) d x=- ₅¹⁰ [ 1 x-1 - 1 x-2 ] d x & =-[ |x-1|]₅¹⁰+[ |x-2|]₅¹⁰=-[ |9|- |4|]+[ |8|- |3|] & = [ | 8 3 | ]- [ | 9 4 | ]= | 8 3 9 4 |= | 32 27 | aligned

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