Question
$\int\text{e}^{\text{x}}\{\text{f(x)}+\text{f}'(\text{x})\}\text{dx}=$
  1. $\text{e}^{\text{x}}\text{f(x)}+\text{C}$
  2. $\text{e}^{\text{x}}+\text{f(x)}$
  3. $2\text{e}^{\text{x}}\text{f(x)}$
  4. $\text{e}^{\text{x}}-\text{f(x)}$

Answer

  1. $\text{e}^{\text{x}}\text{f(x)}+\text{C}$

Solution:

$\int\text{e}^{\text{x}}\{\text{f(x)}+\text{f}'(\text{x})\}\text{dx}=\text{e}^{\text{x}}\text{f(x)}+\text{C}$

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