Further integration - reverse chain rule, exponentials and logs
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- เผยแพร่เมื่อ 28 ก.ย. 2024
- This video expands on integration, building on the basics in my first integration video. It covers integrating by reverse chain rule, a little trigonometry, exponentials and logs. I use 8 examples of a variety of questions of indefinite integration.
Enjoy!
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Best video on reverse chain rule. Excellent explanation and great coverage of all types of questions. Thank you so much from Australia
I agree
i feel like i was never taught this enough, i mightve seen it at some point in the past but now i need it for differential equations, thank you for teaching it to me
This was the best video I have ever watched! Everything makes sense right now, thank u for ur video!
Thank you so much this was so helpful. This helped boost my confidence so much. Everything was explained clearly. 🥰🥰🥰
Excellent explanation.. keep making Maths fun and enjoyable ❤️🌠🌠✨
thanks for making things really clear and easy to understand.
good technique for solving mcqs 👍
love from bangladesh 🇧🇩
This is gold😍😍.
This is so incredibly helpful! Thank you so much for spending your time to help others :)
Thank you so much for this video❤
Thank you much I really needed dis video
Shouldn’t at 3:35 you use by parts? It’s an algebraic function (8x) times by an exponential function.
I also think 8 should be differentiated in the denominator right?
im in...love!
Good luck
@@darkatom2762 so sweet
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keep it up
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how easy that is?
No offense but if u took ur youtube channel a bit further and say did the syllabus u could make it further then any other youtube teacher as all the other videos anywhere near as good as these require payed memberships
Love your videos. Simple, easy to understand and direct to the point. You are making the fog clear from my eyes when looking at math. Really appreciate the time you put in to produce these videos. Thank you!
Thanks for this lovely and encouraging feedback! All the best with your studies!
@@StarfishMathsThe chain rule always works for derivatives, does it always work for integrals?
Say we need to integrate sqrt(tanx)
watching this video makes me realize i should’ve paid attention in calc 1.. im so cooked on my calc 2 final😭🙏
Hi I find your videos vvv useful. Can you kindly make a videos on AS kinematic please i would appreciate it a lot because i only need one video from you for it to make sense to me. Ur my favourite maths teachers I watched your videos on differentiation and kinematic and it made everything soo easy.
Integration*
Yes plz do a video explaining this topic next
I agree
by the second example why did you not say (3x+5)^2 and then divide the 6 by 2x3??
In 3:41 why didn't you integrate 8x too?
Although by differentiating the answer we are getting the correct ans.
Hi! I have the same question too, how did you integrate it ? I can’t find the outer function.
I didn’t get everything but thank you
Dear Starfish Maths. Thanks for this video. Please can you explain how you got the (5x) denominator in example 3
Example 4 not example 3 please
8:59 why do you multiply the original numerator again?
EXCELLENT
I was watching so many videos for reverse chain rule even khan and couldn't understand but this helped me understand very well. Thank you!
what a cutie
hi, love your videos. i would like to know if for example 6 we could use double angle formula?
Mam this is good explanation but does product rule apply in integration
Thank you so much, best video..
Nice🎉🎉🎉🎉🎉🎉your new subscriber 🎉🎉🎉🎉🎉
3:49 Mam, ! Integral e power x = e power x " but i dint understand how " integral 8xe power x square = 8xe power x square" . Mam i am cleat about the outside function and inside function but i wanted to know whats " Integral 8xe power x = ?" because all i have learnt is " Integral 1e power x = e power x ". Please Solve my doubt i would be Thankful. Mam Thank you for this Video. Loved it. Made me clear how to solve ✨♥
thanks for the easy explaination.
Love your videos they saved my life I was struggling so much and then I found you I’m forever grateful I’m gonna cry you deserve more views so much love 🥰🥰
same here. i was lost until i found this. it's what's gonna get me that mc donald's job!! i'm so exited to flip burgers and finally fix the ice cream machine!! 😆😆
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Same, honestly this video has changed the way i perceive the world around me it has made me rethink life and what happens after it, i simply can not explain how much this video has helped me
@@babydoll_dest2762 Thanks for the advice i really appreciate it maybe i could fix the ice cream machine near you someday! 🤪
Thnx i understand each and every one from india
this video is so helpful, every semester in college i watch it and i havent found an example where this video hasnt literally prepared me for its crazy, i never learned u-sub and alwyas do this and get the same answer (dont ask how because its kinda similar it just doesnt click lol)
Thank you mam ,your videos have much helped me 💗💗from Zimbabwe😁 .Am gonna grab me results with distinctions coz of you 💗
thank you soo much for this
Very clear. Thanks!
I can do basic versions of these but never know where to start with larger ones, I want to find c in
vc = vs( 1-e -t/rc )
I want to learn and understand this and not avoid it
I also do maths tutorials on my channel bt find hard to grow
really helped me! However, how can be intergrate something in the form of f(x)/f'(x)
Very helpful
Very helpful, thank you.
Thank you for explain it so clearly!!
Great
Hi I think the second question you missed something the question that has 6sin(3x+5)dx you didn't add to the power and divide by the added power or are we not supposed to do that?
sin intergrates to -cos rather than 1/2sin(x)^2 so all you need to do is take the inside part ie (3x+5) diff -> 3 and divide -> 6/3 * -cos(3x+5) +c
I think he or she meant the power of the whole function.. Wasn't the n suppose to be 2?
Yes it was supposed to be 2
Very good explanation, thank you! :)
10:01 why did u multiply by 2 in denominator?
Thanks so much the video is very helpful
Please add an example that has to do with log and ln
Bruh this video is awesome saved me so much time
Very very Very helpful 👍 thank you
Thanks this is helpful for all students
WELL EXPLAINED < THANK YOU
💗💗💗💗💗 slayyed it
and these videos are super great and easy to understand
at 7:35 integration of cos is just sin, there is no negative. Just a small mistake.
We are doing derivative,not integration in that part.
@@lohorungpeterHe's correct tho
Amazing😍
thnx mam!
Not bad.
It's amazing.
I don't understand something 3 years ago u released many videos but finally u released one that got 412K and like 10k Subs......guys 412K that more then most youtube would ever get but then went dark for 3 years to then come back to a less success for account with many add....?????????
ok maybe there are TH-camrs know with more view but none of them had 412k 4 years ago
Hi this is amazing but for the second question for the 6sin one I think you forgot to increase the power to 2 from 1 as you're intergrating correct me if Im wrong :)
sin intergrates to -cos rather than 1/2sin(x)^2 so all you need to do is take the inside part ie (3x+5) diff -> 3 and divide -> 6/3 * -cos(3x+5) +c
Yes, saw it also