Integration

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

Solve this integral equation.

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

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

Explore the intersection possibilities for normal pdfs.

How would you sort out these integrals?

Generalise this inequality involving integrals.

An inequality involving integrals of squares of functions.

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

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