Integration

problem
Integral equation

Age

16 to 18

Challenge level

Solve this integral equation.
problem
Integral sandwich

Age

16 to 18

Challenge level

Generalise this inequality involving integrals.
problem
Integral inequality

Age

16 to 18

Challenge level

An inequality involving integrals of squares of functions.
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
Normal intersection

Age

16 to 18

Challenge level

Explore the intersection possibilities for normal pdfs.
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
Integration matcher

Age

16 to 18

Challenge level

Can you match the charts of these functions to the charts of their 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
Area L

Age

16 to 18

Challenge level

By sketching a graph of a continuous increasing function, can you prove a useful result about 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.