What is indefinite integral of function f(x) given by f(x)=3x^2+12x+18?

To determine the indefinite integral pf the quadratic
function, we'll apply the additive property of
integrals:

Int (ax^2 + bx + c)dx = Int ax^2dx + Int bx dx +
Int cdx

Comparing, we'll
get:

Int (3x^2+12x+18)dx = Int 3x^2dx + Int 12x dx + Int
18dx

Int (3x^2+12x+18)dx = 3*x^3/3 + 12*x^2/2 + 18*x +
C

We'll simplify and we'll
get:

Int (3x^2+12x+18)dx = x^3 + 6x^2 + 18x +
C

The indefinite integral is Int
(3x^2+12x+18)dx = x^3 + 6x^2 + 18x + C