Draw the graph of a continuous increasing function in the first
quadrant and horizontal and vertical lines through two points. The
areas in your sketch lead to a useful formula for finding
Estimate areas using random grids
Match the charts of these functions to the charts of their integrals.
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?
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?
Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?
Solve this integral equation.
An inequality involving integrals of squares of functions.
Generalise this inequality involving integrals.
Can you hit the target functions using a set of input functions and a little calculus and algebra?
Sort these mathematical propositions into a series of 8 correct