^ x f(x)+f'(x) dx= - Vidyadip

MCQ

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

✓
$\text{e}^{\text{x}}\text{f(x)}+\text{C}$
B
$\text{e}^{\text{x}}+\text{f(x)}$
C
$2\text{e}^{\text{x}}\text{f(x)}$
D
$\text{e}^{\text{x}}-\text{f(x)}$

✓

Answer

Correct option: A.

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

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

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