Integral of $$$e^{u}$$$ with respect to $$$y$$$
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Your Input
Find $$$\int e^{u}\, dy$$$.
Solution
Apply the constant rule $$$\int c\, dy = c y$$$ with $$$c=e^{u}$$$:
$${\color{red}{\int{e^{u} d y}}} = {\color{red}{y e^{u}}}$$
Therefore,
$$\int{e^{u} d y} = y e^{u}$$
Add the constant of integration:
$$\int{e^{u} d y} = y e^{u}+C$$
Answer
$$$\int e^{u}\, dy = y e^{u} + C$$$A