Calculus 1 integrals techniques

3 integral techniques that EVERY calc 1 student has to know,

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blackpenredpen | 曹老師

[FourthDerivative]

For the derivative we used the Chen Lu, so naturally for the integral we must use the u-lneh + C

[krukowstudios]

9:11 “... but I like u”
I like you too, blackpenredpen :D

[btdpro]

If you stop YouTube please don't delete your channel. It's simply amazing.

[EssentialsOfMath]

You are forgetting the most important integration technique:






Wolfram alpha

[MathForLife]

FIRST! Calc 2 with blackpenredpen was AMAZING:D

[NeptuneStudios]

Thank you for breaking down the U-Substitution Method! That has been the most confusing and hardest concept for me to wrap my mind around. But by explaining it as an "X-World" and a "U-World", made it so much more easier to understand. Thank you again ^_^ !

[holyshit]

Know Your derivatives
3) can be calculaten using pythagorean identity and integration by parts
5) can be calculated by substitution
so we dont have to memorize them

[hc_]

The integral 2 can also be -arctan(1/x)+C after doing x=1/u dx=-du/u^2

[anasalbarghouthy]

I really enjoy your videos, unlike most math videos on the internet. Keep it up ❤❤❤❤

[XESolar]

Tell Chen Lu I say hi! Good to see him again.

[reddkgaming]

Im watching this in 2023 now, its so helpful for the pure maths section of A levels. Hopefully you can break down some exam questions from Edexel

[japotillor]

I'll be using these with my students for AB and BC.

[quantumcity]

I like your presentation about any mathamatical expression. 😁
Yeah !!!!
@ Keep it up @

[complexi]

I teach four simple types of integrals to my classes before covering more involved techniques.
Basic Type 1:
Power Rule for Integrals

Basic Type 2:
If (d/dx)f(x) = n*f(x), n is a number, then the antideruvative of
f(x) = (1/n)*f(x)+c.
Or if the derivative ONLY multiplies your function by a number then the antiderivative divides your function by the same number.

Basic Type 3:
If you have a ratio, ask
"Is the top the derivative of the bottom?"
If yes, then the antiderivative of the ratio is
ln(|bottom|)+c
(I see no obvious composition in g'(x)/g(x) to indicate u sub. Recognizing the logarithmic derivative form (d/dx)ln(|g(x)|) = g'(x)/g(x) and reversing it negates the need for u sub)

Badic Type 4:
Known Derivative: recognize you have the derivative of something and reverse it such as cos(x) is (d/dx) sin(x). So the antiderivative of cos(x) must be sin(x)+c

[isaacaguilar]

I’m in calc 1 but we haven’t done integration yet but i can solve all of these extremely easily because of you

[debanjanbose]

Loved ❤️❤️❤️your teaching style that you first solve the exactly we are thinking then you prove it wrong because it is just based on our unclear concepts and myths ...
After watching your videos I am able to solve a lot of questions due to your videos ...Thanks a lot 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[Absilicon]

So you'll be covering a calc 2 series in the future. That's great because I only know stuff from calc 1, can't wait for your future vids 😊

[seanhunter]

@blackpenredpen Thanks so much for all this content - I find it extremely helpful. Do you have a new link to the worksheet? The one in the description is broken now.

[nuji]

YAY! I want that shirt :o
BlackPenRedPen squad!

[HOWardLIA]

Or square yourself, that can also makes you positive 😏😏