tentukan fungsi F jika diketahui sifat-sifat sebagai berikut : a. F'(x)=2, F(4)-10 d. f'(x)=1-2x F(3)=4

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a. f' (x) = 2
f(4) = -10
f(x)= ∫ f '(x) dx
f(x)= ∫ 2x dx  = x² + c
f(4) = - 10
4² + c = -10
16 + c  = -10
c = -10 + 16
c = 6
f(x)= x² + 6

d.  f'(x) = 1 - 2x
f(3) = 4
f(x) = ∫ f'(x) dx
f(x) = ∫ 1 - 2x dx
f(x) = x - x² + c
f(3) = 4
3 - 3² + c = 4
3 - 9 + c = 4
-6 + c = 4
c = 4 + 6
c = 10
f(x) = x - x² + 10