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KCET2016MathematicsIndefinite Integration

The value of ( e^ x (1+x) d x ² (e^ x x ) ) is equal to

Options

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

Correct answer

B. ( (e^ x x )+c )

Step-by-step solution

Given that e^ x (1+x) d x ² (x e^ x ) Let x e^ x =t then, e^ x (1+x) d x=d t Now, I= d t ² t = ² t d t= t= (x e^ x )+c

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