Bang tolong isi ya butuh cepat.

a)
F'(x)= 2x - 9
integralkan untuk mencari F(x)
[tex]f(x) = \frac{2}{1 + 1} {x}^{ 1+ 1} - \frac{9}{0 + 1} {x}^{0 + 1} + c = {x}^{2} - 9x + c \\ \\ f(1) = 5 \\ {1}^{2} - 9(1) + c = 5 \\ 1 - 9 + c = 5 \\ c = 5 - 1 + 9 = 13[/tex]
F(x)= x^2 - 9x +13

b)
f'(x)= 3x^2 - 2x+5
[tex]f(x) = \frac{3}{2 + 1} {x}^{2 + 1} - \frac{2}{1 + 1} {x}^{1 + 1} + 5x + c = {x}^{3} - {x}^{2} + 5x + c \\ \\ f( - 1) = 3 \\ { - 1}^{3} - { (- 1)}^{2} + 5( - 1) + c = 3 \\ - 1 - 1 - 5 + c = 3 \\ c = 3 + 7 = 10[/tex]
F(x)= x^3 - x^2 + 5x + 10

c)
[tex]f(x) = \frac{4}{3 + 1} {x}^{3 + 1} + \frac{3}{2 + 1} {x}^{2 + 1} - \frac{2}{1 + 1} {x}^{1 + 1} + x + c = {x}^{4} + {x}^{3} - {x}^{2} + x + c \\ \\ f(0) = - 6 \\ {0}^{4} + {0}^{3} - {0}^{2} + 0 + c = - 6 \\ c = - 6[/tex]
f(x)= x^4 + x^3 - x^2 + x -6