Calculus 2: Methods of Integration

[spencer 893]

Jesus spencer people browse this at work.

 

Post that in QQ chat pls!

Edited March 8, 2015 by PityFool

[bjshnog 4,440]

what the fuck spencer

[MagentaPanda 715]

what the fuck spencer

 

Well he is an anal warlord. 

 

Why does he have only 4 toes though.

 

8^\

[too3741 18]

I've been wondering myself why I couldn't figure out how to do this integration.  Knowing now it has to do with trig, this problem can fuck right off.

you just have to use sin^2+cos^2=1

[Cunicularius 4,542]

You can use partial fractions to get it all in the numerator. 

Tried that, didn't get me anywhere, literally led me in a circle.

 

EDIT: Literally, gave me the same thing back I started with. Idk, maybe I did something wrong... its repeating , non-reducible, right?

 

Trig substitution

 

x = tan(θ) 

dx = sec^2(θ)dθ

 

should leave you with

 

integral ( 1/sec^3(θ) ) 

which is integral ( cos^3(θ) ) 

 

integrate that using trig rules and substitute x in 

I'll try that.

 

Cuni doing math:

Spencer, PLS

[Cunicularius 4,542]

WOW, so I finally have my solution together!

 

It took a while to figure out... I had to go back and go over integration by parts again, and look at the different ways you can make formulas with it we've already gone over in class.

Got stuck a few times but after a while I actually got it, holy shit! 8D

[bjshnog 4,440]

Wow, I wish I could read it.

[Kiwi. 637]

Faking nerds

[Cunicularius 4,542]

Wow, I wish I could read it.

 

ITS NOT THAT BAD, IS IT? 8C

[Kiwi. 637]

Fak you cuni

[bjshnog 4,440]

ITS NOT THAT BAD, IS IT? 8C

 

It's bad enough that I wouldn't be able to do calculations with it unless I rewrote it, but then again, it usually takes me 3 or 4 attempts to write equations because I want them to be beautiful.

[Cunicularius 4,542]

Fak you cuni

<3

It's bad enough that I wouldn't be able to do calculations with it unless I rewrote it, but then again, it usually takes me 3 or 4 attempts to write equations because I want them to be beautiful.

Yeah, I know that feel... >~>

I can try to rewrite it...

EDIT: nvm, i dont have the patience right now

[bjshnog 4,440]

I recommend LaTeX.

[Cunicularius 4,542]

I recommend LaTeX.

HOW2LATEKS, everyone suggests it, but idk how to go about using it

[bjshnog 4,440]

Just experiment with this editor. You'll probably get used to the syntax pretty quickly.

[sexey 8]

[Kitten 1,385]

Here, I did it the other way. If you simplify, I think it comes out the same... but I am too lazy to do so.

 

[Cunicularius 4,542]

here's a slightly less autistic version

 

 

 

 

 

 

 

 

 

 

 

[Evelyn 2,414]

LaTeX makes these pretty, but it's a PITA to type out.

[Cunicularius 4,542]

LaTeX makes these pretty, but it's a PITA to type out.

I think if  started using ita lot itd get really easy :3

[Kitten 1,385]

thx cuni~

[bjshnog 4,440]

Recommendation: in LaTeX, use \left( and \right) instead of just ( and ) when you're putting them around large (tall) expressions. It's probably also a good habit to put every expression into braces so that the \left( and \right) brackets don't end up mismatched.

 

Also, you have too many )s in a few of those.

[gentillehawk 3]

lol. Just about to head to my calc class when I saw this. Good luck on that test. Integrals make my brain hurt so much more than those derivatives

[bjshnog 4,440]

[Cunicularius 4,542]

lol. Just about to head to my calc class when I saw this. Good luck on that test. Integrals make my brain hurt so much more than those derivatives

Actually, I already took the test this Monday, I think I did ok. 8^)

 

BJ PLS