I am way behind on posting materials for AP Calculus, but better late than never, I suppose. Here is a Tarsia puzzle for practicing techniques of integration (specifically for AB). The puzzle includes both definite and indefinite integrals. I used this as an end-of-the-year review before the AP Exam.
PDF Version is here. Word document of problems only is here. The word document can be used as its own assignment or only for the students who were absent for the puzzle.