Calculus
posted by Anonymous .
The marginal cost of a certain commodity is C'(x)= 3x^2 36x + 120
If it costs 5 dollars to produce 1 unit, then find the total cost of producing x units is...
Please how do I find the total cost?

if C'(x) = 3x^2  36x + 120
then
C(x) = x^3  18x^2 + 120x + c , (I integrated)
if x=1 then C(1) = 5
5 = 1  18 + 120 + c
c = 98
C(x) = x^3  18x^2 + 120x  98