Integral of $$$\cos{\left(x \right)}$$$ with respect to $$$y$$$

The calculator will find the integral/antiderivative of $$$\cos{\left(x \right)}$$$ with respect to $$$y$$$, with steps shown.

Find $$$\int \cos{\left(x \right)}\, dy$$$.

Apply the constant rule $$$\int c\, dy = c y$$$ with $$$c=\cos{\left(x \right)}$$$:

$${\color{red}{\int{\cos{\left(x \right)} d y}}} = {\color{red}{y \cos{\left(x \right)}}}$$

Therefore,

$$\int{\cos{\left(x \right)} d y} = y \cos{\left(x \right)}$$

Add the constant of integration:

$$\int{\cos{\left(x \right)} d y} = y \cos{\left(x \right)}+C$$

$$$\int \cos{\left(x \right)}\, dy = y \cos{\left(x \right)} + C$$$A

Please try a new game Rotatly