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NDA2010MathematicsIndefinite IntegrationActual

What is 1 1+e^x d x equal to? where c is constant of integration.

Options

  1. Ax- x+c
  2. Bx- ( x)+c
  3. Cx- (1+e^x )+c
  4. D(1+e^x )+c

Correct answer

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

Step-by-step solution

aligned & 1 1+e^x d x & = 1+e^x-e^x 1+e^x d x & = 1+e^x 1+e^x d x- e^x 1+e^x d x & =x- (1+e^x )+ c aligned

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