Answer:

To solve this problem, we can use a simple Python script. Here's the code:

```python
n = int(input("Enter a positive integer: "))
for i in range(n):
print(i**2)
```
Explanation:

1. We first take an input from the user to get the value of `n`.
2. We then use a `for` loop to iterate from `0` to `n-1`.
3. Inside the loop, we calculate the square of each integer `i` using the `**` operator and print the result.

Example Output:

If the user enters `5`, the output will be:
```
0
1
4
9
16
```
This is because the squares of integers from `0` to `4` are `0`, `1`, `4`, `9`, and `16`, respectively.