Calculus Rhapsody

Calculus Rhapsody
By Phil Kirk & Mike Gospel
(Lyrics below)

We've had this little school project of ours here on YouTube for over 10 years!! It's been so lovely seeing all of your nice comments over the years. We've updated this description to show you what we're up to nowadays (we're both adults with jobs now!). You can find us online at the links below. Thanks everyone!

*******************
Follow Mike:

Follow Phil:
*******************

Lyrics:

Is this x defined?
Is f continuous?
How do you find out?
You can use the limit process.

Approach from both sides,
The left and the right and meet.
Im a just a limit, defined analytically

Functions continuous,
Theres no holes,
No sharp points,
Or asymptotes.

Any way this graph goes
It is differentiable for me for me.

All year, in Calculus
Weve learned so many things
About which we are going to sing

We can find derivatives
And integrals
And the area enclosed between two curves.

Y prime oooh
Is the derivative of y
Y equals x to the n, dy/dx
Equals n times x
To the n-1.

Other applications
Of derivatives apply
If y is divided or multiplied
You use the quotient
And product rules

And dont you forget
To do the dance

Also oooh (dont forget the chain rule)
Before you are done,
You gotta remember to multiply by the chain

(Instrumental solo)

I need to find the area under a curve
Integrate! Integrate! You can use the integration

Raise exponent by one multiply the reciprocal
Plus a constant
Plus a constant
Add a constant
Add a constant
Add a constant labeled C
(Labeled C-ee-ee-ee-ee)

Im just a constant
Nobody loves me.
Hes just a constant
Might as well just call it C
Never forget to add the constant C

Can you find the area between f and g
In-te-grate f and then integrate g
(then subtract)
To revolve around the y-axis
(integrate)
outer radius squared minus inner radius squared
(multiplied)
multiplied by pi
(multiply)

Multiply the integral by pi!

Pi tastes real good with whipped cream!

Mama-Mia, Mama-Mia
Mama-Mia let me go.
Pre-calculus did not help me to prepare for Calculus, for Calculus, help me!

So you think you can find out the limit of y?
So you think youll find zero and have it defined
Oh baby cant define that point baby
Its undefined
Goes to positive and negative infinity

Oooh. Oooh yeah, oooh yeah.
Differentiation
Anyone can see
Any mere equation
It is differentiable for me.

(Any way this graph goes)

[WordGospel]

If you liked this video, you may also like my podcast, How Star Wars Is It?! It's a very silly show where we rate and review different topics on a scale from 1-10 of how similar they are to Star Wars. Topics have ranged from "The Matrix" to pumpkin spice lattes... Check it out wherever you get podcasts!

[JB-bcry]

Student: Teacher, can we have Bohemian Rhapsody?
Teacher: We'll have Bohemian Rhapsody in class.
Bohemian Rhapsody in class:

[streetfood]

Teacher: time for your calculus test
Me: can I listen to music?
Teacher: yeah why not
Me:

[simply_blayde]

"Pre-calculus did not help me prepare for Calculus"

The most accurate sentence ever

[anonymous_the_first]

Father: Mathematician
Mother: Musician

Result:

[jayperson]

As my calculus professor said “you forget the C, you get a C”

[misaelrobles]

"You can do whatever you want with my music, just don't make it boring"
-Freddie Mercury

[SirGrass]

"When you're happy you enjoy the music, when you're sad you understand the lyrics."

[_terabyte]

3:56 “Pi tastes real good with whipped cream”
As someone with a near zero understanding of calculus, this is definitely the only message I got out of this video😂

[justbecause]

When you want to be a musician but mama told you to take calculus...

[ShieldYoung]

As a person who loves Bohemian Rhapsody and Calculus
You guys rock Freddie and Newton both would be proud

[adventurelogs]

Seeing this video 13yrs after it was posted only makes me hope that these guys are now teaching calculus. They would be great teachers.

[Karsow]

Nobody:
Every math teacher in the world:
*starts headbanging*

[goldbrickstudios]

Is anyone gonna talk about the singing? Seriously, this is one of the hardest songs to sing...ever, and they nailed it. Real talent.

[Xorkent]

We don't take calculus to use it in the real world.

We take calculus to understand this song.

[motchie]

When you understand the song
...
years of learning calc paid off

[themicrowave]

This is like the trash parodies the teacher show their kids in class.
The only difference is




This is actually good

[wolfieodimm]

14 years old and still better written than 90% of current music

[agathaf.]

WHY YOUTUBE RECOMMENDED ME THIS 14 FREAKING YEARS LATER??

[crashlogger]

"Pre-calculus did not help me prepare for Calculus", I feel that one