If f '(x) = x + b , f(1) = 5 , f(2) = 13, find f(x)

Plzzzzzzz give the answer to this question as soon as possible!!!!!!!

f'(x) = x +b

itefrate both sides

f(x) = x2/2 + bx + c

f(1) = 5 , f(2) = 13,

5 = 1/2 + b +c

b +c = 9/2 ...........(1)

13 = 4/2 + 2b + c

2b +c = 11...........(2)

eqn(2) - (1)

b = 13/2

c = 9/2 - 13/2 = -2

f(x) = x2/2 + (13/2)x -2

  • 1

8x - 3

  • 0
What are you looking for?