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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If f'(x) = f(x) + ₀^1 f(x)dx and given f(0) = 1 , then f(x)dx is equal to: *(where C is an arbitrary constant.)*

Options

  1. A2 3-e e^x + ( 3-e 1-e )x + C
  2. B2 3-e e^x + ( 1-e 3-e )x + C
  3. C3 2-e e^x + ( 1+e 3+e )x + C
  4. D2 2-e e^x + ( 1-e 3+e )x + C

Correct answer

B. 2 3-e e^x + ( 1-e 3-e )x + C

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