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NDA2015MathematicsIndefinite IntegrationActual

dx 1+ e ^ - x is equal to where c is the constant of integration

Options

  1. A1+ e ^ x + c
  2. B(1+ e ^ - x )+ c
  3. C(1+ e ^ x )+ c
  4. D2 (1+ e ^ - x )+ c

Correct answer

C. (1+ e ^ x )+ c

Step-by-step solution

aligned & dx 1+ e ^ - x & e ^ x e ^ x +1 dx & Let e ^ x +1= t & e ^ x dx = dt & = dt t & t + c & ( e ^ x +1 )+ c aligned

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