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BITSAT Mathematics Indefinite Integration 2021 BITSAT 2021

BITSAT Mathematics Question (2021) — Solution

Question

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. A. 3
  2. B. 4
  3. C. 6
  4. D. 8

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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