Integral dari $$$\frac{1}{x \ln^{3}\left(x\right)}$$$ terhadap $$$t$$$
Kalkulator terkait: Kalkulator Integral Tentu dan Tak Wajar
Masukan Anda
Temukan $$$\int \frac{1}{x \ln^{3}\left(x\right)}\, dt$$$.
Solusi
Terapkan aturan konstanta $$$\int c\, dt = c t$$$ dengan $$$c=\frac{1}{x \ln{\left(x \right)}^{3}}$$$:
$${\color{red}{\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t}}} = {\color{red}{\frac{t}{x \ln{\left(x \right)}^{3}}}}$$
Oleh karena itu,
$$\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t} = \frac{t}{x \ln{\left(x \right)}^{3}}$$
Tambahkan konstanta integrasi:
$$\int{\frac{1}{x \ln{\left(x \right)}^{3}} d t} = \frac{t}{x \ln{\left(x \right)}^{3}}+C$$
Jawaban
$$$\int \frac{1}{x \ln^{3}\left(x\right)}\, dt = \frac{t}{x \ln^{3}\left(x\right)} + C$$$A