Find anti derivative that satisfies given condition

Question

C’(x)=3x^2 - 7x; C(0)= 2,000

Answer 1

C'(x) = 3x^2 -7x

C(x) = x^3 -(7/2)x^2 + k where k= a constant.

C(0) =(0)^3 -7(0)^2/2 + k = 2,000

k= 2,000

Antiderivative = x^3 -(7/2)x^2 + 2,000