Integral dari $$$r^{n}$$$ terhadap $$$n$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int r^{n}\, dn$$$.
Solusi
Apply the exponential rule $$$\int{a^{n} d n} = \frac{a^{n}}{\ln{\left(a \right)}}$$$ with $$$a=r$$$:
$${\color{red}{\int{r^{n} d n}}} = {\color{red}{\frac{r^{n}}{\ln{\left(r \right)}}}}$$
Oleh karena itu,
$$\int{r^{n} d n} = \frac{r^{n}}{\ln{\left(r \right)}}$$
Tambahkan konstanta integrasi:
$$\int{r^{n} d n} = \frac{r^{n}}{\ln{\left(r \right)}}+C$$
Jawaban
$$$\int r^{n}\, dn = \frac{r^{n}}{\ln\left(r\right)} + C$$$A
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