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AP EAMCET2007MathematicsIndefinite Integration

If e^x-1 e^x+1 d x=f(x)+c , then f(x) is equal to

Options

  1. A2 (e^x+1 )
  2. B(e^ 2 x -1 )
  3. C2 (e^x+1 )-x
  4. D(e^ 2 x +1 )

Correct answer

C. 2 (e^x+1 )-x

Step-by-step solution

We have, e^x-1 e^x+1 d x= ( 2 e^x e^x+1 -1 ) d x=2 (e^x+1 )-x+c On comparing with f(x)+c , we get f(x)=2 (e^x+1 )-x

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