integral (ln x)³ dx

3x*ln(x)-3x+c maaf kalo salah

[tex]
\text{Gunakan integrasi parsial }\\
\text{Misal }u=(\ln{x})^3\Rightarrow du=3(\ln{x})^2\cdot\frac{1}{x}dx\\
dv=dx\Rightarrow v=\int{dx}=x\\
\text{Selanjutnya, diperoleh}\\
\int{(\ln{x})^3dx}=u\cdot v-\int{v\cdot du}=(\ln{x})^3\cdot x-\int{x\cdot\frac{3(\ln{x})^2}{x}dx}
[/tex]