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BITSAT2021MathematicsIndefinite IntegrationActual

If 3 x+1 (x-3)(x-5) d x= -5 (x-3) d x+ B (x-5) d x then the value of B is

Options

  1. A3
  2. B4
  3. C6
  4. D8

Correct answer

D. 8

Step-by-step solution

We have, array l 3 x+1 (x-3)(x-5) = -5 x-3 + B x-5 3 x+1=-5(x-5)+ B (x-3) Put x=5 3(5)+1= B (5-3) 16=2 ~B or B =8 array

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