What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

How would you sort out these integrals?

Match the charts of these functions to the charts of their integrals.

Explore the intersection possibilities for normal pdfs.

Can you find the area of the central part of this shape? Can you do it in more than one way?

Can you hit the target functions using a set of input functions and a little calculus and algebra?

By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?

Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?

An inequality involving integrals of squares of functions.

Sort these mathematical propositions into a series of 8 correct statements.