∫ (2x-3)² dx adalah.....

Bab Integral
Matematika SMA Kelas XI

∫ (2x - 3)² dx = ∫ (4x² - 12x + 9) dx
                    = (4/3) x³ - (12/2) x² + 9x
                    = (4/3) x³ + 6x² + 9x + C

[tex]\displaystyle \text{misal :}\\2x-3=u\\2\,dx=du\\\\\int(2x-3)^2\,dx=\int\frac12u^2\,dx\\\int(2x-3)^2\,dx=\frac16u^3+C\\\boxed{\boxed{\int(2x-3)^2\,dx=\frac16(2x-3)^3+C}}[/tex]