# Integration

**12**NRICH Mathematical resources connected to

**Integration**

problem

### Calculus Countdown

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

problem

### Operating machines

What functions can you make using the function machines RECIPROCAL and PRODUCT and the operator machines DIFF and INT?

problem

### Integration matcher

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

problem

### Mind your Ps and Qs

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

problem

Favourite

### Curved square

Can you find the area of the central part of this shape? Can you do it in more than one way?

problem

Favourite

### Harmonically

Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?