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KCET2011MathematicsIndefinite Integration

e^ x [ x+ x 1- ² x ] d x is

Options

  1. A(e^ x cosec x )+C
  2. Be^ x x+C
  3. C(e^ x x )+C
  4. De^ x x+C

Correct answer

C. (e^ x x )+C

Step-by-step solution

I= e^ x ( x+ x 1- ² x ) d xI= e^ x ( x+ x ² x ) d xI= e^ x x x d x+ e^ x x d xI= e^ x x x d x+ x e^ x . .I= x x e^ x d x I=e^ x x x d x+e^ x x - e^ x x x d x

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