I would like to know how to do this problem before my test tomorrow and I'm not really sure how to do it. Any guidance would be appreciated.

Let

be the Cantor set. Let

be determined by

Show that

is Riemann integrable on

and

. [That is the "length of the Cantor set is 0.]

I want to approach it like this but I'm not sure if it is correct:

We want to show that

is integrable we need to show that

for some

.

We can make

when

. So i think all we have to do is to show that

. However, I'm not sure how to do this.