Integration
problem
Calculus Countdown
Age
16 to 18
Challenge level
Can you hit the target functions using a set of input functions and a little calculus and algebra?
problem
Operating machines
Age
16 to 18
Challenge level
What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?
problem
Normal intersection
Age
16 to 18
Challenge level
Explore the intersection possibilities for normal pdfs.
problem
Integration matcher
Age
16 to 18
Challenge level
Can you match the charts of these functions to the charts of their integrals?
problem
Mind your \Ps and \Qs
Age
16 to 18
Challenge level
Sort these mathematical propositions into a series of 8 correct statements.
problem
Curved square
Age
16 to 18
Challenge level
Can you find the area of the central part of this shape? Can you do it in more than one way?
problem
Harmonically
Age
16 to 18
Challenge level
Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?
problem
Integral Inequality
Age
16 to 18
Challenge level
An inequality involving integrals of squares of functions.
problem
Integral Sandwich
Age
16 to 18
Challenge level
Generalise this inequality involving integrals.