My favorite integral aka I don’t care what your teacher told you, π ≠ 22/7.

By calculating a very simple integral we can see that π ≠ 22/7 regardless to what we were told in school.

I constantly have students coming into my college classes and trying to interchange between π and 22/7. Let’s be clear, 22/7 is a relatively good approximation for π (it is correct to 2 decimal places) but it certainly is not equal to π. I want to show you an integral I like to get my class to calculate at the end of an ``Introduction To Calculus Course” to exemplify the fact that these numbers are…