here's another way to think about it : graph each one of these functions (the graph of a modulus function looks like a V of sorts), then, you'll get like 5-ish right triangles. add their areas and the integral is done!
Amazing explanations. Do you think one day you will be able to do perhaps a video on STEP (admission test for Cambridge Maths), once you have of course mastered other concepts? Although I am not doing this exam, sometimes there are some amazing problems in past papers, and they also have a STEP support programme with a bunch of problems there.
Yes that's true! That's very similar to using piecewise and I specifically wanted to avoid using piecewise or any other typical solutions to absolute value integrals for this question ◡̈
His older sister is in year 11 and year 12 right? This maths is for year 11 and year 12s. Most people drop maths after year 10. Because you turn 16 in the school year.
Y dun u just find the area under the graph?? Y are u doing all these rubbish? How is your method better than finding the 3vpieces of area under the graph?
Hey! So the entire point of this video is to solve the question WITHOUT splitting anything up (it’s written clearly in the title), that’s why I proved this new formula. I wanted to show how to solve an absolute value integral without piecewise or splitting the equation up since those are the most common and typical ways to solve similar questions, they are also the most simple and basic methods. Of course always free to do the method that you are most comfortable with, I personally think my method is the most efficient, although could be difficult for some people to understand 😊
@@VictorTeachesMath Your method is definetly the most stupid and inefficient. For example, 1 + 1 = 2. But instead, u try to do 1 + 1 = 1 + 1/2 + 1/4 + 1/8 + ... = 2. It is very irritating!!
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You are doing an amazing job! Wishing you the best!
Omggg thank you so much!!!
The Legend comments under the video of the Young prodigy. Cool!
here's another way to think about it : graph each one of these functions (the graph of a modulus function looks like a V of sorts), then, you'll get like 5-ish right triangles. add their areas and the integral is done!
very good🧜😯😄🤩
talented and underrated, good job on helping us giving us how to do transcendental functions
Amazing explanations. Do you think one day you will be able to do perhaps a video on STEP (admission test for Cambridge Maths), once you have of course mastered other concepts? Although I am not doing this exam, sometimes there are some amazing problems in past papers, and they also have a STEP support programme with a bunch of problems there.
Thanks so much for the suggestion! I'll check out those questions ◡̈
Woah. Now I learn that in any absolute value of a function, we have the formula. Thank you for wonderful knowledge.
So happy I can share this knowledge!
Great video! And I recommend you to have a look at HKDSE 2021 M2 Q9, it is a very interesting integration problem
Woah I've never solved absolute value integrals without using piecewise, this is pretty cool!
Also love the additional questions
Unparalleled knowledge
You’re v early bro, have a good one ,try to enjoy it more than competing with others
i love this channel so much, i came from bprp 😂
Thank you!
@@VictorTeachesMath can i ask where did you learn these things? Brilliant? Textbooks? I ask as a 15 yrs old that knows these things
What do u want to be in the future? for exaample what job do u want to have
We can solve from grafics too
Yes that's true! That's very similar to using piecewise and I specifically wanted to avoid using piecewise or any other typical solutions to absolute value integrals for this question ◡̈
His older sister is in year 11 and year 12 right?
This maths is for year 11 and year 12s.
Most people drop maths after year 10. Because you turn 16 in the school year.
Hi bestie I’m actually going into my 2nd year in uni this year LOL and did extension 2 maths for my HSC
Y dun u just find the area under the graph?? Y are u doing all these rubbish? How is your method better than finding the 3vpieces of area under the graph?
Hey! So the entire point of this video is to solve the question WITHOUT splitting anything up (it’s written clearly in the title), that’s why I proved this new formula. I wanted to show how to solve an absolute value integral without piecewise or splitting the equation up since those are the most common and typical ways to solve similar questions, they are also the most simple and basic methods. Of course always free to do the method that you are most comfortable with, I personally think my method is the most efficient, although could be difficult for some people to understand 😊
@@VictorTeachesMath Your method is definetly the most stupid and inefficient. For example, 1 + 1 = 2. But instead, u try to do 1 + 1 = 1 + 1/2 + 1/4 + 1/8 + ... = 2. It is very irritating!!
@@chinchang5117yo stfu man you knew about these things when you got 18yo and from your english i guess you are 24yo but too stupid to pass 12th grade😂
@@chinchang5117 You know nothing about math, his method can be Even more efficient and useful applied to other absolute value integrals
mate youre not good at maths please dont delude yourself into believing so, ur trying to argue with a kid online 😂😂 absolute joke