Let `f(x) = int_(0)^(x)(t-1)(t-2)^(2) dt`, then find a point of minimum.

Explanation

To find the point of minimum for the function \( f(x) = \int_{0}^{x} (t-1)(t-2)^2 \, dt \), we will follow these steps:

### Step 1: Differentiate the function
Using the Fundamental Theorem of Calculus, we differentiate \( f(x) \):
\[ f'(x) = (x-1)(x-2)^2 \]

...