Evaluate the integral of the function y=(4+ln x)^3/x?

We'll apply the substitution technique to solve the
indefinite integral of the given function.

Int f(x)dx = Int
(4+ln x)^3dx/x

We'll substitute 4 + ln x =
t.

We'll differentiate both
sides:

dx/x = dt

We'll
re-write the integral, having t as variable:

Int t^3 dt =
t^4/4 + C

But t = 4 + ln
x

Int (4+ln x)^3dx/x =  (4 + ln x)^4/4 +
C