The correct option is C e^x/n ∫1ne^x/n dx Let xn = t1ndx=dt ∫ e^tdt=e^t+c e^x/n+c ...

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Definition of Limit

∫1nex/ndx is

Question

$\int \frac{1}{n} e^{x / n} d x$ is

e

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e^{x}

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e^{x / n}

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n e^{x}

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Solution

The correct option is C $e^{x / n}$
$\int \frac{1}{n} e^{x / n} d x$
Let $\frac{x}{n} = t ⟹ \frac{1}{n} d x = d t$
$\int e^{t} d t = e^{t} + c e^{x / n} + c$

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