I agree with you on every level, Im struggling with a similar issue as you are due to how poorly I was educated in mathematics growing up. This led to bigger issues for me though where I still struggle in basic mathematics like simplification, substitution and factorization among many many others. After graduating from university studying accounting, I struggled heavily with basic mathematics and calculus courses but still managed to pass eventually. I really want to get better at maths although it’s completely unrelated to my line of work. Still, I have no idea where to start, would love to hear how you went on about this. Thank you for reading!!

@@amrosawa7143 I'm glad to hear you're taking an interest in math. Maybe start from the basics, strengthen your foundations there and then move to more complicated topics gradually. Thankfully there are a lot of KZfaq videos on various topics in math so finding them should not be hard. And if you're having problems with one you can always search and find another video that explains the topic better

@@Cpt_MacTavish That sounds like plan! Thanks for the advice!! ⭐️

kzfaq.info/get/bejne/jbBiZMmF29C6p58.html

Far superior to my old professor in college. My old professor would stare at the class, zone out, write as fast as he could, then erase it.

@@dr.strangelove9815 hehehe, my tutor teaches the example in the textbook and give you work to do lol

Yes, i remember i watched that one abou 4 years ago, it was truly legendary

when you are a maths student on a difficult day before mocks looking for something different you feel disappointed at anything that does not answer your question and dislike it. I have done it to some videos that i later found helpful

Thats the biggest mistake in your life? If thats true i envy you.

man I feel ya! I literally have a sticky not on my wall which says 'ADD INTEGRATION CONSTANT (+C)!!!' in big. Its so annoying when you screw up a problem because of such a little detail!!!!!

Me too😂

Nonsense, when they're bounds, it's unnecessary putting the constant

haha, it cancels, so I wouldn't bother adding it anyway

𝐒𝐮𝐫𝐞🤓

Because that's the way we define integrating. As for why anti-derivatives work as a strategic way to evaluate integrals, it's called the fundamental theorem of Calculus.

This is Notability being used on an iPad. I've used it for a few months, and it seems a really good app 👍

Mine looks like hes 2 minutes away from committing mass genocide, reviving hitler and then jumping off a cliff :/

No.

+1

But wat does X equal in that equation

@@Walter.H.White1 X=Eddies a genius

i think he's using notability on Ipad

Sure drive.google.com/file/d/13dXHVFa6kzlQAA7-KhYzJd5JQPt60UT5/view?usp=sharing

The idea is that there is a family of infinite functions, that share the same derivative, and for continuous functions, they only differ by a single offset constant. This is why when finding the indefinite integral, you always add +C to the end of your answer. We can call it anything we want, but because constant starts with a C, the de-facto name for it is C. Some applications, like repeated integrals, will require you to carry multiple constants of integration, and you'll end up with integral of integral of F(x) dx dx = G(x) + c1*x + c2, as your indefinite repeated integral. An application of this is kinematics, where you know acceleration as a function of time, and you want to find position as a function of time. You need to know initial velocity and initial position, to solve for c1 and c2. If you are doing an indefinite integral, you add +C at the end. If you are doing a definite integral with limits of integration, the C's will ultimately cancel, and it doesn't matter whether you included the +C or not.

It gets more complicated when you have discontinuities. For instance, integral of 1/x dx. Most classes will teach you to solve this as ln(|x|) + C, and call it a day. However, the actual answer is piecewise of ln(-x) + C for x0. Because I can independently shift both the positive and negative halves of the graph, and still have the same derivative. This is beyond what most instructors expect of you, and a simple +C is good enough for most practical applications. You can't really carry out integrals across discontinuities anyway, so it is rare that the difference will govern an application of the integral.

his videos are quite informative, but I just cringe at him calling (possibly) non-existent students with common names

pretty sure it was Sasha Knox

This time instead of just giving an integral, the question is worded in a different way. Thus, he is trying to teach his students that although a question may be worded with "find an area", they can use integrals to assist to find an area. When just given an integral, your output should just be a number. However, if the question said "find an area", you use integrals to help you get the "value" of the answer then in another line, say something like: Therefore, the area is _ units^2 (obviously if there were specific units like metres, then say m^2 etc....). In a nutshell, he's just following the NESA Mathematics Advanced syllabus dot points.