This weekend, I attended the MathsJam annual gathering. It was a wonderful event full of brilliant talks, great competitions, and a fantastic game of mathematical Jeopardy. On particular highlight though, was MathsJamJam.

When MathsJam is in person, people bring their instruments and have a sing along to songs from the ever-evolving MathsJamJam song book. Songs which you may well know, but with lyrics changed to be about maths. This year audio and video were sent in instead, which people could sing along to.

I submitted my own set of lyrics to Levitating by Dua Lipa. Alas, I don’t have the recording but can at least share the lyrics!

# Integrating

*Lyrics by Sophie Maclean**To the tune of Levitating by Dua Lipa*

*Backing track: https://www.youtube.com/watch?v=nK9hD9_SAdU*

If you wanna find an area, beneath a curve or line

I got a method you should know

I have some mathematics that is full of lots of cool tricks

And it’s this that I have brought to show

Newton did it first? Leibniz did it first?

That debate goes too and fro

Doesn’t matter either way it’s what I’m teaching you today

It’s calculus come on let’s go

You want A? I want A baby:

The area, I’m integrating

I’m anti-diff, -erentiating

Yeah-yeah-yeah-yeah

I got two lim-its, it’s def-inite

Meaning you are not meant to add the c

I’m integrating

(In) lieu (of) limi-its: inde-finite

And so you, must be, sure to add the c

I’m integrating

(To) show you how we integrate I first want to approximate,

The area beneath our curve

Split it into rectangles and sum the areas of those

Now tell me what you can observe

Make the rectangles, infinitely small

Use more so the width’s conserved

Tending to infinity, the limit of the sum will be

The area, just hold your nerve

You want A? I want A baby:

The area, I’m integrating

I’m anti-diff, -erentiating

Yeah-yeah-yeah-yeah

I got two lim-its, it’s def-inite

Meaning you are not meant to add the c

I’m integrating

In lieu (of) limi-its: inde-finite

And so you, must be, sure to add the c

I’m integrating

(*beat*) An uncountable infinity

You can sum across it easily

Addition continuously

(Yeah-yeah-yeah-yeah)

I’m integrating (woo)

You can integrate things with respect

To the variable you select

To the y axis or the x

Yeah-yeah-yeah-yeah (woo)

Let’s take a polynomial degree n

We integrate so change the coefficients

And the solution we get will be then

deg, ree, n, plus, one

Or start with a trig function, how about sine?

Integrate to find what’s beneath the line

In this case the answer’s minus cosine

And ,co- sine, gives, sine

You want A? I want A baby:

The area, I’m integrating

I’m anti-diff, -erentiating

With the two lim-its, it’s def-inite

Meaning you are not meant to add the c

I’m integrating (woo)

(*beat*) An uncountable infinity

You can sum across it easily

Addition continuously

I’m integrating (woo)

You can integrate things with respect

To the variable you select

To the y axis or the x

Yeah-yeah-yeah-yeah

With the two lim-its, it’s def-inite

Meaning you are not meant to add the c

I’m integrating

In lieu (of) limi-its: inde-finite

And so you, must be, sure to add the c

I’m integrating

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