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Integral dari $$$\frac{1}{y^{4}}$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \frac{1}{y^{4}}\, dy$$$.
Solusi
Terapkan aturan pangkat $$$\int y^{n}\, dy = \frac{y^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ dengan $$$n=-4$$$:
$${\color{red}{\int{\frac{1}{y^{4}} d y}}}={\color{red}{\int{y^{-4} d y}}}={\color{red}{\frac{y^{-4 + 1}}{-4 + 1}}}={\color{red}{\left(- \frac{y^{-3}}{3}\right)}}={\color{red}{\left(- \frac{1}{3 y^{3}}\right)}}$$
Oleh karena itu,
$$\int{\frac{1}{y^{4}} d y} = - \frac{1}{3 y^{3}}$$
Tambahkan konstanta integrasi:
$$\int{\frac{1}{y^{4}} d y} = - \frac{1}{3 y^{3}}+C$$
Jawaban
$$$\int \frac{1}{y^{4}}\, dy = - \frac{1}{3 y^{3}} + C$$$A