Integral of $$$c^{15}$$$

The calculator will find the integral/antiderivative of $$$c^{15}$$$, with steps shown.

Find $$$\int c^{15}\, dc$$$.

Apply the power rule $$$\int c^{n}\, dc = \frac{c^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=15$$$:

$${\color{red}{\int{c^{15} d c}}}={\color{red}{\frac{c^{1 + 15}}{1 + 15}}}={\color{red}{\left(\frac{c^{16}}{16}\right)}}$$

Therefore,

$$\int{c^{15} d c} = \frac{c^{16}}{16}$$

Add the constant of integration:

$$\int{c^{15} d c} = \frac{c^{16}}{16}+C$$

$$$\int c^{15}\, dc = \frac{c^{16}}{16} + C$$$A

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