Integral of $$$y$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$y$$$ with respect to $$$x$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

Please write without any differentials such as $$$dx$$$, $$$dy$$$ etc.
Leave empty for autodetection.

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Your Input

Find $$$\int y\, dx$$$.

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=y$$$:

$${\color{red}{\int{y d x}}} = {\color{red}{x y}}$$

Therefore,

$$\int{y d x} = x y$$

Add the constant of integration:

$$\int{y d x} = x y+C$$

Answer

$$$\int y\, dx = x y + C$$$A


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