Integral of $$$\frac{1}{y^{3}}$$$ with respect to $$$x$$$
The calculator will find the integral/antiderivative of $$$\frac{1}{y^{3}}$$$ with respect to $$$x$$$, with steps shown.
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Your Input
Find $$$\int \frac{1}{y^{3}}\, dx$$$.
Solution
Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\frac{1}{y^{3}}$$$:
$${\color{red}{\int{\frac{1}{y^{3}} d x}}} = {\color{red}{\frac{x}{y^{3}}}}$$
Therefore,
$$\int{\frac{1}{y^{3}} d x} = \frac{x}{y^{3}}$$
Add the constant of integration:
$$\int{\frac{1}{y^{3}} d x} = \frac{x}{y^{3}}+C$$
Answer
$$$\int \frac{1}{y^{3}}\, dx = \frac{x}{y^{3}} + C$$$A