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KCET2018MathematicsIndefinite Integration

( 1 1+e^ x d x ) is equal to

Options

  1. A( _ e ( e^ x +1 e^ x )+0 )
  2. B( _ e ( e^ x -1 e^ x )+0 )
  3. C( _ e ( e^ x e^ x +1 )+0 )
  4. D( _ e ( e^ x e^ x -1 )+0 )

Correct answer

C. ( _ e ( e^ x e^ x +1 )+0 )

Step-by-step solution

Given that [ aligned & 1 1+e^ x d x =&- -e^ -x e^ -x +1 d x =&- |1+e^ -x |+C =&- | e^ x +1 e^ x |+C =& | e^ x e^ x +1 |+C aligned ]

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