## Integral Poem

Rhea Lieber ('18)

The Oversized “S”

At first I didn’t get you

I have to reverse my thought process?

Find the what?

The anti-derivative?

Represented by a what?

Represented by this swirly symbol

Curved like an oversized S

And it has a hidden meaning too!

A disguised sum

Representing not some

but all

dx: add those infinite widths up.

Because really what it comes down to

is a little thing called area

Not area like L x W

Or ½ B x H

Area formulas forever engraved in our memories

No, an integral is different

It represents the area

under a graph

Sometimes indefinite

Sometimes definite

From some x-values a to b

And don’t forget the + c!

Dear integrals, at first you were difficult

Furrowed brow, pursed lips

Undoing the power rule

Undoing the chain rule

Undoing everything – I felt like a fool

But thanks to Ms. Stutt

and her persistent practice

The curvy, oversized S no longer troubles me

So now here I am

Able to find the integral of

2x³ in my head

Which is obviously ½x⁴

I guess it’s time to move on to

more complicated problems...

“Let f(x) = 2x³ + 6. Find the volume of a solid from [1,5] whose cross-sections are equilateral triangles perpendicular to the x-axis.”

At first I didn’t get you

I have to reverse my thought process?

Find the what?

The anti-derivative?

Represented by a what?

Represented by this swirly symbol

Curved like an oversized S

And it has a hidden meaning too!

A disguised sum

Representing not some

but all

dx: add those infinite widths up.

Because really what it comes down to

is a little thing called area

Not area like L x W

Or ½ B x H

Area formulas forever engraved in our memories

No, an integral is different

It represents the area

under a graph

Sometimes indefinite

Sometimes definite

From some x-values a to b

And don’t forget the + c!

Dear integrals, at first you were difficult

Furrowed brow, pursed lips

Undoing the power rule

Undoing the chain rule

Undoing everything – I felt like a fool

But thanks to Ms. Stutt

and her persistent practice

The curvy, oversized S no longer troubles me

So now here I am

Able to find the integral of

2x³ in my head

Which is obviously ½x⁴

I guess it’s time to move on to

more complicated problems...

“Let f(x) = 2x³ + 6. Find the volume of a solid from [1,5] whose cross-sections are equilateral triangles perpendicular to the x-axis.”