### There are 12 results

Broad Topics >

Calculus > Integration

##### 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?

##### Age 16 to 18 Challenge Level:

Explore the intersection possibilities for normal pdfs.

##### Age 16 to 18 Challenge Level:

Solve this integral equation.

##### 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?

##### Age 16 to 18 Challenge Level:

Can you match the charts of these functions to the charts of their integrals?

##### Age 16 to 18 Challenge Level:

An inequality involving integrals of squares of functions.

##### Age 16 to 18 Challenge Level:

Generalise this inequality involving integrals.

##### Age 16 to 18 Challenge Level:

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

##### Age 16 to 18 Short Challenge Level:

Sort these mathematical propositions into a series of 8 correct
statements.

##### Age 16 to 18 Challenge Level:

Can you hit the target functions using a set of input functions and a little calculus and algebra?

##### Age 16 to 18 Challenge Level:

How would you sort out these integrals?

##### 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 ?