$$$\frac{1}{n^{11}}$$$'nin integrali

Bulun: $$$\int \frac{1}{n^{11}}\, dn$$$.

Kuvvet kuralını $$$\int n^{n}\, dn = \frac{n^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ $$$n=-11$$$ ile uygulayın:

$${\color{red}{\int{\frac{1}{n^{11}} d n}}}={\color{red}{\int{n^{-11} d n}}}={\color{red}{\frac{n^{-11 + 1}}{-11 + 1}}}={\color{red}{\left(- \frac{n^{-10}}{10}\right)}}={\color{red}{\left(- \frac{1}{10 n^{10}}\right)}}$$

Dolayısıyla,

$$\int{\frac{1}{n^{11}} d n} = - \frac{1}{10 n^{10}}$$

İntegrasyon sabitini ekleyin:

$$\int{\frac{1}{n^{11}} d n} = - \frac{1}{10 n^{10}}+C$$

$$$\int \frac{1}{n^{11}}\, dn = - \frac{1}{10 n^{10}} + C$$$A