We need to find the integration of (36x²)x.dx .
We know,
[tex]\int x^n.dx = \dfrac{x^{n+1}}{n+1} +c[/tex]
Now,
[tex]I=\int {36x^2x} \, dx \\\\I=36\int x^3.dx\\ \\I=36\times \dfrac{x^4}{4}+c\\\\I=9x^4+c[/tex]
Therefore, the integration of (36x²)x.dx is [tex]9x^4+c[/tex] .
Hence, this is the required solution.
