PLEASE HELP, I NEED AN ANSWER FAST

Question

Find the particular antiderivative of the following derivative that satisfies the given condition.

C'(x)=3x^2−5x​; C(0)=5,000

Answer 1

C(x) = x^3 - (5/2)x^2 + k is the anti-derivative

C(0) = 5000 ---> 5000 = k

So C(x) = x^4 - (5/2)x^2 + 5000