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Verified answer
Bab IntegralMatematika SMA Kelas X
f'(x) = 6x + 2
f(x) = ∫ f'(x) dx
= ∫ (6x + 2) dx
= 6/(1 + 1) . x¹⁺¹ + 2x
= (6/2) . x¹⁺¹ + 2x
= 3x² + 2x + C
f(-2) = 10
3 . (-2)² + 2 . (-2) + C = 10
3 . 4 - 4 + C = 10
C = 10 - 8
C = 2
f(x) = 3x² + 2x + 2