Integral of $$$y^{4}$$$

The calculator will find the integral/antiderivative of $$$y^{4}$$$, with steps shown.

Find $$$\int y^{4}\, dy$$$.

Apply the power rule $$$\int y^{n}\, dy = \frac{y^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=4$$$:

$${\color{red}{\int{y^{4} d y}}}={\color{red}{\frac{y^{1 + 4}}{1 + 4}}}={\color{red}{\left(\frac{y^{5}}{5}\right)}}$$

Therefore,

$$\int{y^{4} d y} = \frac{y^{5}}{5}$$

Add the constant of integration:

$$\int{y^{4} d y} = \frac{y^{5}}{5}+C$$

$$$\int y^{4}\, dy = \frac{y^{5}}{5} + C$$$A

Please try a new game Rotatly