mohon bantuannya msh ad pertanyaan lain tpi cukup satu contoh dulu mau tau g mna cra ngerjainnya

Integral (3x^2)/(x - 1)(x^2 + x + 1) dx
= Integral (3x^2)/(x^3 + x^2 + x - x^2 - x - 1) dx
= Integral (3x^2)/(x^3 - 1) dx

Misal
u = x^3 - 1
du = 3x^2 dx => dx = du/(3x^2)

Integral (3x^2)/u . du/(3x^2)
= Integral 1/u du
= In u + C
= In |x^3 - 1| + C