Tentukan fungsi f (x) ,jika diketahui : a. F' (x) = x3 - x2 dan (2) =9/4 b. F' (x) = 6x - 4 dan f (-2) =12

a) F'(x) = x³ - x²
f(x) = ¼x⁴ - ⅓x³ + C
f(2) = ¼(2⁴) - ⅓(2³) + C
9/4 = ¼(16) - ⅓(8) + C
9/4 = 16/4 - 8/3 + C
9/4 - 16/4 + 8/3 = C
-7/4 + 8/3 = C
-21/12 + 32/12 = C
11/12 = C
f(x) = ¼x⁴ - ⅓x³ + 11/12
b) F'(x) = 6x - 4
f(x) = 3x² - 4x + C
f(-2) = 3(-2²) - 4(-2) + C
12 = 3(4) + 8 + C
12 = 12 + 8
12 - 12 - 8 = C
C = -8
f(x) = 3x² - 4x + C