This is. The. Best part. You can not change my mind.

The Upload

Ommetaphobia - VS. Bambi Fantrack (Made by That Pizza Town Fan)

Evaluate the line integral where C is the given curve. We're integrating over the curve C, y to the third ds, and C is the curve with parametric equations x = t cubed, y = t. We're going from t = 0 to t = 2. So we're going to integrate over that curve C of y to the third ds. We're going to convert everything into our parameter t in terms of our parameter t. So I'm going to be integrating from t = 0 to t = 2. Those will be my limits of integration. Now y is equal to t, so I'm going to replace y with what it's equal to in terms of t. So I'm going to be integrating the function t to the third. Now ds we're going to write as a square root of dx dt squared + dy dt squared, squared of all that as we said dt. So we're integrating now everything with respect to t. So this is going to be equal to the integral from 0 to 2 of t to the third times the square root of -- see the derivative of x with respect to t is 3 t squared. So we have 3 t squared squared + dy dt; well, that's just 1 squared dt. So we have the integral from 0 to 2 of t to the third times the square root of 9 t to the fourth + 1 dt. So this is a pretty straightforward integration here. We're going to let u be equal to 9 t to the fourth + 1 then du is equal to 36 t to the third dt and so that tells me I can replace a t to the third dt with a du over 36. And so we're going to have the integral then from -- well, new limits of integration. I'm just going to put some squiggly marks there to remind myself that we switched variables. So I'm not going from t = 0 to t = 2. I'm doing things in terms of you right now. But I have a 1 over 36. I'll put that out front, and we're going to have the square root of u. So u to the 1/2, t to the third dt was replaced by du over 36. We got the 36 out front. And so now this is a pretty easy antiderivative in terms of u. It's u to the 3/2 times 2/3. And again, different limits of integration. We could figure out what they are in terms of u, but I'm going to convert back into t. So we're going to have 1 over 36 times 2/3 times u to the 3/2. Now, u is 9 t to the fourth + 1, that to the 3/2 power. And now we can go ahead and go from original limits of integration 0 to 2. So let's see, when I put a 2 in here, we're going to have -- 1 over 36 times 2/3. That's going to be 1 over 54, isn't it? So we'll have 1 over 54 times -- putting a 2 in, we have 9 times 2 to the fourth. That's 9 times 16, which is 144 + 1, is 145. So we put the 2 in there, we get 145 to the 3/2 minus, putting the 0 in, we get 9 x 0 to the fourth. That's 0. 0 + 1 is 1. So we just get 1 to the 3/2 or 1. So let's see, what's the best way to write this. How about 1 over 54 -- I guess we could leave it like that. We could also write 145 to the 3/2 as 145 times the square root of 145 and then minus 1. And that is that line integral of y to the third ds over the given curve C.
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Jambi X Brobgonal Shipping Cute

FNF VS Dave and Bambi: Golden Apple Edition - Algebra instrumental

Jazzy rendition of Collision Chaos Bad Future from Sonic CD

Download available at my Bandcamp

Sonic CD - Collision Chaos [Bad Future] Remixed

Dire dire docks (remix)

FNaF: Security Breach - DJ Music Man Boss Fight Full Theme (with Reverb)

The eventual home of all heroes.

Spotify/other platforms: https://distrokid.com/hyperfollow/ivycomb/death-valley

Death Valley

Launch Base Act 2, except this time, we're actually launching!

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►Follow us on Twitter: https://twitter.com/TeamTemporacle
►Join the Discord: https://discord.gg/UK6erfSGAB

►Listen on Newgrounds (best quality): https://www.newgrounds.com/audio/listen/1100738
►View on YouTube: https://www.youtube.com/watch?v=5j_uQAa8Foc

Download links will come at a later time.

--

Arrangement by
NicoCW: https://twitter.com/NicoCVv
Super: https://twitter.com/supercoo1987

Background by
Fries: https://twitter.com/PixelatedFries
Rosa: https://twitter.com/rosy_eclairs
spdy4: https://youtube.com/c/Modtro64
PixelsTay: https://twitter.com/PixelsTay

Launch Base Act 2 - Sonic Hysteria OST

Thumbnail by https://twitter.com/Dumbie_Dumbie
go follow them!

edit: HOLY SHIT
https://gamejolt.com/games/whoareyou/705915

Who are you?

Track created by ShredBoi.

Soundcloud exclusive!

Antagonism (First 11 Minutes) - Bambi's Purgatory Full OST

Was originally on YouTube but then it was removed so here it is on soundcloud

Song By ShredBoi

Antagonism 20 Minutes

Éste sountrack no me pertenece sus respectivos créditos a los compositores:

This soundtrack does not belong to me their respective credits to the composers:

//Sountrack original//
""Null_y34r""🌽✨🎶🎶
https://m.youtube.com/c/Nully34rNoFake

//Compositor del remix//
""ALB03""🕶️🎹🎶🎵
https://m.youtube.com/c/ALB03Music



Uhhh me costo mucho hacer la portada de la canción 😮‍💨 pero me quedo bien 🤩, espero y disfruten del remix ❤️🌴

Uhhh it cost me a lot to make the cover of the song 😮‍💨 but I'm fine 🤩, I hope and enjoy the remix ❤️🌴


🔥🌽🔥

(รєгคקђเς) - (Seraphic) - ALB's remix - (Original by Null_y34r) -FNF - OST - BambiFantrac

SETTLE THE SCORE (Jurisprudence OVERHAUL)

This is NOT mine. I made only the thumbnail.

also the icons such as invalid data or demented are a little bit changed

Link to the original song i guess:
https://youtu.be/RsCaSQDFlqE?si=hqdB5YTdc8v1YLnC

I did not make funeralbi, True Expunged And Demented because i am an idiot at making 3D stuff

PLS CHECK THE ORIGINAL SONG OR THE ORIGINAL CHANNEL THAT UPLOAD THIS SONG!!! IM JUST RE-UPLOAD HERE BECAUSE NOBODY (at my knowledge)UPLOADED!!!

also hi im back i think so

𝕽𝖀𝕰 - Regret Remix (By 0lgaZ)

Symbios - Flowin  Electrodub DnB MeloStep  Break Beat 2025 prod&mixedbyCreArtur

FNF VS Dave and Bambi: Golden Apple Edition - Algebra instrumental

Decimated Dave (Out of Minutes)

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