Integration

problem
Integral arranging

Age

16 to 18

Challenge level

How would you sort out these integrals?
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?
$Mind your \Ps and \Qs$

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.