Matematika Sekolah Menengah Atas diket f'(x)= 3x²-4x+1 dan f(x)=...​

christanaderulv – March 07, 2023

diket f'(x)= 3x²-4x+1 dan f(x)=...​

Diketahui

f'(x) = 3x² - 4x + 1

Hence,

[tex] f'(x) = 3x^2 - 4x + 1 \\ \int\limits 3x^2 - 4x + 1 \: dx \\ \int\limits 3x^2 \: dx - \int\limits 4x \: dx + \int\limits 1 \: dx \\ (3 \times \frac{x^3}{3}) - (4 \times \frac{x^2}{2}) + x \\ x^3 - 2x^2 + x \\ f(x) = x^3 - 2x^2 + x + C [/tex]

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