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This is my last video on convincing people to use the DI method for integration by parts. They are really the same thing but the DI method is just a much better way to set up IBP problems. We will do integration by parts examples: the integral of x^2*ln(x) and the integral of x^2*cos(x). The integral of x^2*cos(x) has gained over 6 million views on Instagram. See it here:
Here are the 3 stops for the DI method:
Why I don’t teach the LIATE method:
0:00 integral shortcut? answer in 5 seconds : )
0:07 why i am making this video
0:43 proving the integration by parts formula
2:02 example 1, integral of x^2*ln(x)
5:30 why the DI method is really the same as integration by parts
8:34 example 2, the integral that got 6M+ views on Instagram
12:22 using DI method for the integral of x^2*cos(x)
15:56 check out Brilliant
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Next video: How to convince your teacher that the DI method works better than the ugly old UV one
Suprising teachers are against this method if it's so convenient with no drawbacks
More than 40 years knowing how to integrate by parts, and I didn't know were It came from.
After seen this video I'm a little bit less ignorant!
i’ve been using the DI method for years now because of your videos! it’s been helpful, although i understand the value of regular integration by parts.
Actually this kind of questions you can simply calculate in your mind.
is the DI method legal thou, say, on exam 🤔
I do get some reluctance in teaching this, wanting to make sure students know why it works and what is going on.
But the teachers who would give a zero for this? They're just demonstrating that they don't understand mathematics. They're too married to notation.
Any good mathematician will learn how to shortcut anything they have to do often. All of our algorithms for solving things are some sort of shortcut. What do you think long division or long multiplication are? What do you think the quadratic formula is?
I never had a single teacher who would penalize me if I didn't write down a step as long as I got it right and clearly didn't copy the answer from somewhere else. The rule was always just that, if you didn't write down all the steps, you couldn't get partial credit for mistakes. So you learned what you needed to write and what you didn't.
Kisi regular ya irregular plane jaise square, rectangle plane ka equation kaise nikale sir help me .
I would liken the insights of knowing the formula vs. using a table to other places in math where we see an array, matrix, table, etc., is a handy tool for calculation or just visualizing the problem. Linear algebra does things like this all the time and I think there's a lot of emphasis on why two methods are equivalent (i.e. linear functions and matrices; different ways of solving linear systems; all that fun determinants stuff). I'm also recalling the way we represented permutations with arrays in my group theory class a while ago. Rows and columns do come in handy sometimes!
This is how I thought myself to do IBP but unfortunately a lot of my homework makes me write u, v, du, dv
thank you
Oo i like it
in vietnam someone calls it " múa cột" method 😂
this is wrinkling my brain
My Calc 2 professor (many years ago now) marked my answers wrong on an exam because I used this method. It's how I learned to do it in high school. He argued that it was just a trick.
This kind of reminds me of solving systems of linear equations either with or without the use of matrices. Solving them with the use of matrices would be akin to the DI or Table method where solving them without would be more like using the original Integration by Parts udv – duv method…
No one have heard of ..ILATE..?
While watching your vedios I came accross my weakness in Mathematics, I just want to know at what age you became confident enough to devour all problems at a glnce.
I love this method
I was in 1st sem. Now I'm in 7th….
I always use this method for IBP
Faith in DI method restored
100 integrals part 3 :))))))))))))))))))))))))
I don't like this method because it unnecessarily complicates solving. Just replace the relevant function and run with it.
Just a shortcut way of putting in a table what integration by parts does. The completed table can always be re-transcribed into the final IBP expressions. Mathematicians seem to have no problem with mapping anything but a problem solving method itself…
Blue pen 😮
it's not bad but do'nt you think it would'nt go well with higher powers like x^17 or likewise.
Makes it much clearer deciding how to choose u and v
If this does not convince you, nothing will. Nicely presented!!
DI: A term coined by Super Smash Bros player, refers to moving your movement stick in a direction during hit lag to influence the drift of their character.
method only works if you say “tic tac toe”
I used this format in my exam. But my teacher could not understand it and did not give me marks 🤣🤣🤣. 🙂
I used this plenty in college. A lifesaver during exams.