Maths Clock

This clock was a present from ViolaMaths for my birthday yesterday. It's part of a custom of giving unusual timepieces...

The hours are marked by little mathematical puzzles instead of the more usual numbers.

For example, consider what is in place of the number 3. This is my working of the double integral. I've really done this as an exercise for myself in setting equations with the LaTeX equation editor rather than as a piece of mathematics. And I hasten to add that the maths may well be wrong: it's more than 55 years since I did A-Level Maths (that's shocked even me!).

So now, dear Readers, have a go at the others...