Estimate areas using random grids
Match the charts of these functions to the charts of their integrals.
How would you sort out these integrals?
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
Can you hit the target functions using a set of input functions and a little calculus and algebra?
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?
Solve this integral equation.
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.
An inequality involving integrals of squares of functions.
By sketching a graph of a continuous increasing function, can you prove a useful result about integrals?
Sort these mathematical propositions into a series of 8 correct statements.