Integration

How would you sort out these integrals?

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

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

Explore the intersection possibilities for normal pdfs.

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

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

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

An inequality involving integrals of squares of functions.

Generalise this inequality involving integrals.