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Manipal MET2011MathematicsIndefinite Integration

If e^x+2 (e^x-1 ) (2 e^x-3 ) =- 3 e^x-1 + B 2 e^x-3 , then B is equal to

Options

  1. A1
  2. B3
  3. C5
  4. D7

Correct answer

D. 7

Step-by-step solution

Here, e^x+2=-3 (2 e^x-3 )+B (e^x-1 ) On equating the coefficient of e^x and constant, we get aligned & 1=-6+B & 2=9-B B=7 aligned

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