Integral of $$$1 - y^{2}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$1 - y^{2}$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int \left(1 - y^{2}\right)\, dx$$$.

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=1 - y^{2}$$$:

$${\color{red}{\int{\left(1 - y^{2}\right)d x}}} = {\color{red}{x \left(1 - y^{2}\right)}}$$

Therefore,

$$\int{\left(1 - y^{2}\right)d x} = x \left(1 - y^{2}\right)$$

Add the constant of integration:

$$\int{\left(1 - y^{2}\right)d x} = x \left(1 - y^{2}\right)+C$$

$$$\int \left(1 - y^{2}\right)\, dx = x \left(1 - y^{2}\right) + C$$$A

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