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KCET2018MathematicsIndefinite Integration

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

Options

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

Correct answer

A. ( x e^ x +C )

Step-by-step solution

Given that, ( e^ x ( x+1 x ) d x ) [ = e^ x ( x x+ x) d x ] We know that, [ array l e^ g(x) (g^ (x) f(x)+f^ (x) ) d x=e^ g(x) f(x)+c So, e^ x ( x+1 x ) d x=e^ x x+c array ]

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