Riemann Sums Carol! (tune = "Jingle Bells")

Riemann Sums, Riemann Sums,

Counting Areas

Of Rectangles whose widths get small

We need to count them all!

Riemann Sums, Riemann Sums,

Counting Areas

Of Rectangles whose widths get small

We need to count them all!

******

We Learn to integrate,

It's really lots of fun.

It's easier to find

Than those old Riemann Sums!

We learn to sub a u,

Then things get sort of hard.

But most of all we tabulate

When we get sick of parts!

******

Riemann Sums, Riemann Sums,

Counting Areas

Of Rectangles whose widths get small

We need to count them all!

Generally Speaking,

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