By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Solve this integral equation.
Can you match the charts of these functions to the charts of their integrals?
How would you sort out these integrals?
Is it true that a large integer m can be taken such that: 1 + 1/2 + 1/3 + ... +1/m > 100 ?
Generalise this inequality involving integrals.
Can you find the area of the central part of this shape? Can you do it in more than one way?
Explore the intersection possibilities for normal pdfs.
Can you hit the target functions using a set of input functions and a little calculus and algebra?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
An inequality involving integrals of squares of functions.
Sort these mathematical propositions into a series of 8 correct statements.