Integration - 'Heat Waves' Parody: AP Calc AB Music Video

"Heat Waves" by Glass Animals

PARODY LYRICS:
[Intro]
(Last night, all the Calc I thought I knew)
(Sal Khan really tried to walk me through)
(OCT vids all on my “Queued”)
(Need an A, got no real excuse)
Looking grimmer, not as you envision
Integration never gets much clearer
Looking grimmer, not as you envision
Integration never gets much clea—

[Chorus]
Sometimes all I do is review
Finals coming, early in June
FTC’s been fakin’ me out
Can’t ever figure this stuff out
Sometimes all I do is review
Finals coming, early in June
FTC’s been fakin’ me out
Can’t ever figure this stuff out

[Verse 1]
Usually I struggle to differentiate
Power, quotient, chain rules ain’t that great
But with integrals and FTC, merely
Plug the top “x” bound, and it’s scene
Solving integrals that’re definite
Take the antiderivative
Anti-A minus (subtracted from) Anti-B
That’s how to use the FTC (part 2), but

[Chorus]
Sometimes all I do is review
Finals coming, early in June
Area between curves fakin’ me out
Can’t ever figure this stuff out

[Verse 2]
You can’t do it, find area underneath
You have tried everything, but
Let me teach it to you slow
Outer minus inner’s what to do
Integrate, you’re in the zone
You know to plug in the bounds too
You don’t even need to use pi
One more, keep goin’, you’re on a high

[Chorus]
Sometimes all I do is review
Finals coming, early in June
Average values been fakin’ me out
Can’t ever figure this stuff out
Sometimes all I do is review
Finals coming, early in June
Average values been fakin’ me out
Can’t ever figure this stuff out

[Bridge]
Moving on let’s find the meaning of
Average values, they’re very discoverable
Multiply 1/(b-a)
By the integral, see that was a-okay
That’s all for semester 2
Ready for finals early in June
I know what integration’s about
I know what integration’s about

[Chorus]
Looks like I learned everything new
Crushed finals taken early in June
I knew what integration was about
I hope I get an A in Calc somehow
Looks like I learned everything new
Crushed finals taken early in June
I knew what integration was about
I hope I get an A in Calc somehow

[Outro]
My eyes glimmer, going as envisioned
Integration definitely got clearer
My eyes glimmer, going as envisioned
Integration definitely got clearer

OBJECTIVES:
Lakshman Manickam - Be able to apply both the first and second Fundamental Theorem of Calculus (To evaluate definite integrals with the Fundamental Theorem of Calculus): Verse 1
Ammar Mukadam - Apply definite integrals to problems involving area (To find the area between two curves): Verse 2
Arnav Sinha - Apply definite integrals to problems involving the average value of a function (To find the average value of a function): Bridge

[flossingthroughmath]

***EDIT***
Sorry for the mathematical mistake in the video! The line "Anti-A minus Anti-B" was supposed to mean antiderivative of A *SUBTRACTED FROM* antiderivative of B (saying "minus" instead of "subtracted from" just kept the lyrics more on beat). However, we forgot this when making our animation and showed that the FTC (part 2) was antiderivative of A minus the antiderivative of B, which is not true. Somehow, we also missed this when rechecking the video. Sorry again for the mistake!

[ammarmukadam]

You're even better than a unicorn because you're real.

[ammarmukadam]

trust me im taller than the other indian kid, its just the camera's angle

[ammarmukadam]

You're better than a triple-scoop ice cream cone. With sprinkles.

[iamthereallm]

Better than Ryan Trahan's penny series 😉