To calculate the sum of the odd integers between 8 and 26, we need to first identify those odd numbers:

• The odd integers between 8 and 26 are: $9, 11, 13, 15, 17, 19, 21, 23, 25$.

Now, let's sum them up:

$9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 = 153$

So, the sum of the odd integers between 8 and 26 is 153.

Would you like any further details or have any questions?

Here are some related questions:

1. What is the sum of even integers between 8 and 26?
2. How would you find the sum of odd integers between any two given numbers?
3. What is the sum of odd integers between 1 and 100?
4. Can you find the sum of the first 10 odd integers?
5. How does the sum of consecutive odd integers relate to perfect squares?

Tip: The sum of the first $n$ odd integers is always equal to $n^2$.