Bang tolong isi ya butuh cepat.

f'(x) integralkan untuk mendapat f(x)
a)
f'(x)= 2x+3
[tex]f(x) = {x}^{2} + 3x + c \\ \\ f(1) = 5 \\ {1}^{2} + 3(1) + c = 5 \\ c = 5 - 4 = 1[/tex]
y= F(x)= x^2 + 3x +1

b)
[tex]f(x) = 5x - 2 {x}^{2} + c \\ \\ f(2) = - 1 \\ 5(2) - 2 \times {2}^{2} + c = - 1 \\ 10 - 8 + c = - 1 \\ c = - 1 - 2 = - 3[/tex]
y=f(x)= -2x^2 + 5x -3

c)
[tex]f(x) = {x}^{3} - {x}^{2} + 6x + c \\ \\ f( - 1) = - 2 \\ { (- 1)}^{3} - ( { - 1)}^{2} + 6( - 1) + c = - 2 \\ - 1 - 1 - 6 + c = - 2 \\ - 8 + c = - 2 \\ c = - 2 + 8 \\ c = 6[/tex]
y=f(x)= x^3 - x^2 + 6x + 6