Integral of $$$e^{u}$$$ with respect to $$$y$$$

The calculator will find the integral/antiderivative of $$$e^{u}$$$ with respect to $$$y$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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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