integral x(2x-3)pangkat2 dx

Bab Integral
Matematika SMA Kelas XI

∫ x (2x - 3)² dx
= ∫ x (4x² - 12x + 9) dx
= ∫ (4x³ - 12x² + 9x) dx
= (4/(3 + 1)) x³⁺¹ - (12/(2 + 1)) x²⁺¹ + (9/(1 + 1)) x¹⁺¹
= (4/4) x⁴ - (12/3) x³ + (9/2) x²
= x⁴ - 4x³ + (9/2) x² + C