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Manipal MET2011MathematicsIndefinite Integration

If 2 x+3 (x+1)(x-3) = a x+1 + b x-3 , then a+b is equal to

Options

  1. A1
  2. B2
  3. C9 / 4
  4. D-1 / 4

Correct answer

B. 2

Step-by-step solution

(2 x+3)=a(x-3)+b(x+1) Put x=-1 and x=3 respectively, we get 1=-4 a and 9=4 b a=- 1 4 and b= 9 4 a+b=- 1 4 + 9 4 =2

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