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Integral dari $$$\frac{1}{x^{11}}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \frac{1}{x^{11}}\, dx$$$.
Solusi
Terapkan aturan pangkat $$$\int x^{n}\, dx = \frac{x^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ dengan $$$n=-11$$$:
$${\color{red}{\int{\frac{1}{x^{11}} d x}}}={\color{red}{\int{x^{-11} d x}}}={\color{red}{\frac{x^{-11 + 1}}{-11 + 1}}}={\color{red}{\left(- \frac{x^{-10}}{10}\right)}}={\color{red}{\left(- \frac{1}{10 x^{10}}\right)}}$$
Oleh karena itu,
$$\int{\frac{1}{x^{11}} d x} = - \frac{1}{10 x^{10}}$$
Tambahkan konstanta integrasi:
$$\int{\frac{1}{x^{11}} d x} = - \frac{1}{10 x^{10}}+C$$
Jawaban
$$$\int \frac{1}{x^{11}}\, dx = - \frac{1}{10 x^{10}} + C$$$A