/sci/ - Science & Math » Thread #13027923

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I have shit integration skills

Anonymous Sun 25 Apr 04:31:47 2021 No.13027923 View Reply Original Report

Quoted By: >>13028396 >>13028405 >>13028422 >>13028455 >>13028464 >>13028510 >>13028533

How does one know all the shortcuts to quickly solve integrations (especially multivariable ones)? What site or book can explain and help strengthen my integration skills?

Anonymous

Anonymous Sun 25 Apr 2021 07:20:10 No.13028396 Report

Quoted By:

>>13027923
bump

Anonymous

Anonymous Sun 25 Apr 2021 07:23:08 No.13028405 Report

Quoted By: >>13028708

>>13027923
Lmao just get all the rules (chain rule, the integral of 1/x, ect.) Tatooed on your forearm, so whenever you forget you can just look at it.

Anonymous

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Anonymous Sun 25 Apr 2021 07:30:16 No.13028422 Report

Quoted By:

>>13027923
you have trouble concentrating on mathematics because you're an autogynephiliac

Anonymous

Anonymous Sun 25 Apr 2021 07:41:54 No.13028455 Report

Quoted By: >>13028513

>>13027923
Do you think there is a different answer to that than to practise on regular basis? Make a list of all the integration methods that are used and then find many examples where they can be applied. Preferably solved ones with every step laid out so when you are solving it by ourself and you get stuck you can quicly correct yourself. After a while you should start to see a pattern which examples can be solved with which method. This is of course very tedious and time consuming so you won't probably do that because you don't like math so much you would give it a good chunk of your day and that's why only a few people are good at math.

Anonymous

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Anonymous Sun 25 Apr 2021 07:43:57 No.13028464 Report

Quoted By:

>>13027923
Are you trying to solve for arbitrary variables or achieve some real-world output translation?

Anonymous

Anonymous Sun 25 Apr 2021 08:04:16 No.13028510 Report

Quoted By: >>13028513

>>13027923
Literally just memorizing by practicing, and knowing various integration techniques. Plus maybe at least having an understanding why some of the techniques work.

Anonymous

Anonymous Sun 25 Apr 2021 08:05:37 No.13028513 Report

Quoted By: >>13028524 >>13028612 >>13028752

>>13028510
>>13028455
how do you practice and find questions?

Anonymous

Anonymous Sun 25 Apr 2021 08:11:04 No.13028524 Report

Quoted By: >>13028527

>>13028513
Pick up a fucking book nigga. I can't recommend any literature because I didn't study in english but you should be able to find plenty of books covering the calculus of integration.

Anonymous

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Anonymous Sun 25 Apr 2021 08:12:37 No.13028527 Report

Quoted By:

>>13028524
I did study in English and can defintitively say that you can find plenty of books about sorting pebbles into separate groupings or containers.

Anonymous

Anonymous Sun 25 Apr 2021 08:14:35 No.13028533 Report

Quoted By: >>13028536

>>13027923
do it numerically

Anonymous

Anonymous Sun 25 Apr 2021 08:15:25 No.13028536 Report

Quoted By:

>>13028533
whoa, did you just recommend he do it using numbers? That's some serious number theory requirements your putting on a fellow anon there.

Anonymous

Anonymous Sun 25 Apr 2021 09:00:41 No.13028612 Report

Quoted By:

>>13028513
You literally search google for "integrals practice problems" and there you have dozens of websites showing you examples some even with steps.

When I was at college I used Khan academy
https://www.khanacademy.org/math/ap-calculus-bc

and videos from PatricJMT
http://patrickjmt.com/

You practice first by looking at someone solving equations trying to underdstand the process. Once you understand the principle you find an equation you can try solve for yourself. Understanding the principle is important otherwise trying to solve it by userself when you don't even get it is waste of time. Then as you solve equations by yourself you will inevitably get stuck on something. That's why it's important to have solved examples with steps so you can quickly look up how it is done properly so you can move on. Then repeat.

Practising solving equations by yourself is important because just reading someone else's work gives you false sence of understanding that is actually not applicable once you try it for yourself.

Anonymous

Anonymous Sun 25 Apr 2021 09:59:39 No.13028708 Report

Quoted By:

>>13028405
>Integral of 1/x...
dude its easy when you attempt to integrate that you run into a wall where 1/x^0 is 1/1 and we obviously cant have that shit. So theres a couple tips and tricks to get it done. 1/x = ln x and likewise ln x dx = 1/x
Youll get it bro just keep studying.

My biggest problem was du lol
Like why cant I just integrate powers. Fuck all that shit on the inside of the equation. Just let me add 1 and divide by what I get.

+C has started to fuck me on differentials too.

Anonymous

Anonymous Sun 25 Apr 2021 10:22:06 No.13028752 Report

Quoted By:

>>13028513
Here's a book, it has lots of problems and any crazy integration method you can think of.
https://archive.org/details/treatiseonintegr01edwauoft

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