So, imagine you have a bunch of numbers, like 1, 2, 3, 4, 5, and 6. Now, let's say you want to add them all up. That's pretty easy, right? You just take 1 + 2 + 3 + 4 + 5 + 6 and get 21.
Now, let's say you have a bunch of numbers that are really close together, like 1.1, 1.2, 1.3, and so on all the way up to 2.9. If you tried to add them all up like we did before, you would have to write down a lot of numbers and it would take a long time. That's where the böhmer integral comes in.
The böhmer integral is a way to add up all those small numbers without having to write them all out one by one. It's kind of like a shortcut.
To do the böhmer integral, you first need to decide how many small numbers you want to add up. Let's say we want to add up 10 of them. Then, you divide the range of numbers (2.9 - 1.1 = 1.8) by the number of small numbers you want to add up (10). That gives you the "step size" or the "distance" between each of the small numbers: 0.18.
Now, you start at the first number (1.1) and you add it to the next number (1.28, which is 1.1 + 0.18). Then, you add that result to the next number (1.46, which is 1.28 + 0.18), and so on until you get to the last number (2.9). This gives you the böhmer integral for those numbers.
It might seem like a lot of work, but it's actually much faster than writing out all the small numbers and adding them up. And it can be really useful when you have a lot of numbers that are close together.