Hi Professor Dave... Thank you very much for this video, kindly assist me on when exactly do we need to draw that right angled triangle ??😮 Is it always when we have the trig substitution or ?
My gosh thank you so much for this video. It really made this topic click for me (for the most part, still struggling with back substitution, but I think that's due to how long it's been since I initially learned trig identities)
Yo this is kinda cool. I found out that trig substitution is basically u substitution in reverse. Instead of finding the integral of f(x)dx, we find the integral of f(g(x))g'(x)dx. This integral is going to be F(g(x))+c. And if we resub x back for g(x), we get F(x)+c. Pretty neat technique!
Can we just have a round of applause for the poor overworked mathematician that figured out this trig subbing mess centuries ago from scratch with NO help, so we didn't have to?
I have a worry here the numerator has 9 and x^2 substituting x from the original function was thinking u will just substitute in the given function as it is
This is just awesome. Every single time I felt confused in my college calculus lectures, I come to this channel!! Thanks for making math seem fun and understandable!!
you're a living legend you know that!! my professor tried his best but not enough. If only Feynman was here to see ur tutoring skills. Also i am deeply waiting for your ODE and PDEs in addition to any programming languages. i want to see you in Khan Academy level. having ur own website and all.
did the last exersise perfectly! Honestly, I thought I'd write some short resume I wouldn't fully understand with this video. I ended up writing a whole page with every example and in-betweens you did. I don't regret it, because I understood everything, and I won't struggle to remember it. Thank you so much for your easy explanations! You make integration seem so much easier!
thank you so much! your videos are really helpful love the visuals and how everything is taught in a concise matter under 20 minutes. i am looking forward to using your videos to tackle on organic chem this school year :)
oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on TH-cam except yours. thanks a lot my mentor!!
I watched 3 people try to teach these 3 concepts, what you did differently is explain the trig substitution's and identity's. I also like how you did not go to the next step, without mentioning exactly what you did(even if it was small) . Also starting off small before performing a problem Great work.
No matter how hard the topic is, his intro makes it all look good!!
Professor Dave deserves our tuition fee. I'm learning effectively to him rather than university professors tbh
yeah bro
this is still true btw
Zip up his pants when you're done lil bro
@@CHEFWILLAY for real no cap
Hi Professor Dave... Thank you very much for this video, kindly assist me on when exactly do we need to draw that right angled triangle ??😮 Is it always when we have the trig substitution or ?
Thanks, Professor Dave, for giving a base in doing integration! I am now confident to work out any integration problem.
my online class proffesor only reads his presentation and doesn't it that much. Proffesor Dave you really helps me.
I wish this video had been around when I took Calc II in 2002 ... this makes so much more sense.
My gosh thank you so much for this video. It really made this topic click for me (for the most part, still struggling with back substitution, but I think that's due to how long it's been since I initially learned trig identities)
Yo this is kinda cool. I found out that trig substitution is basically u substitution in reverse. Instead of finding the integral of f(x)dx, we find the integral of f(g(x))g'(x)dx. This integral is going to be F(g(x))+c. And if we resub x back for g(x), we get F(x)+c. Pretty neat technique!
Wow! I wish I had you for calc!
Can we just have a round of applause for the poor overworked mathematician that figured out this trig subbing mess centuries ago from scratch with NO help, so we didn't have to?
Thank you so much for this. This video has made trig subs a lot more understandable.
this made the most confusing thing I've ever done slightly less confusing, every time you help
Excelente explicación, usted explica perfecto amigo...
This video is amazing, I love how slowly and clearly you explain!
This guy is amazing!!! 💯
Crystal clear! Thank you!
thank you dave
This professor saves my grade every time
Will have a quiz in a few hours thank you for your help!
I hate engineering lmao
Then don’t try and be an engineer lol
Us moment!!
Thank so much Professor Dave😍! This is a big help to my exam in Calculus 2💗
I am from Ghana
you are the matrix of calculus
this is so helpful thank you so much. wish I knew this channel before
Can I choose x = a cos O for sqrt(a^2 - x^2) instead of x = a sin O ?
I thought I worked out the last problem wrong as everything cancelled, but I'm glad I did it right xD
Great video! Saved me for sure.
Brilliant, thank you
At 8:40, is it a coincidence that "a" on the right triangle was equal to the numerator in the original problem, or is there an actual connection?
You are great. I am appreciated. Thank you :))))
Thank u..
best vid ive seen on this
Dear Proffessor cant we use x = acosθ instead of asinθ?
Technically you can, but you’d have an unnecessary negative sign to deal with. It’s better to use sin.
Thank you brotherrrr
Grigory Perelman! Is that you!?
THNKS REALLY HELPFULLLLL
How do you get the 1 for a^2 - a^2 sin^2(x) = a^2(1-sin^2(x)). How does that simplify at all?
You factor out a^2
1-sin^2(x)=cos^2(x), so it becomes a^2 cos^2(x), whose square root is a cos(x)
thanks!!
I have a worry here the numerator has 9 and x^2 substituting x from the original function was thinking u will just substitute in the given function as it is
u r fantastic
thank u goat
Done.
danke schone
Professor you're Jesus.. this was so well explained..👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍❤️❤️❤️🖖
Become so easy
Professor Dave has carried me through Ochem and now Calc 2. If only he did microbio
well i did biology and biochemistry, did you see those? microbiology will be coming soon, maybe early next year!
@@ProfessorDaveExplains 🔭 ASTRONOMY
@@melester2728 🔭 ASTRONOMY
2:45 AM (yep!)
2/15/2022
@@ProfessorDaveExplains Bro knows everything
th-cam.com/play/PLybg94GvOJ9HH55nqS_y_0ryk3foJ3kSX.html&si=VYGBbcHGR7nqABhR
Dude this is the hardest thing I’ve done in my life thanks for making it a little easier
If you want him to earn money but can't afford patreon, just watch the whole of the skippable ad.
brain hurty
lmao same
Your videos have criminally few views, it makes me sad :(
pretty please tell your friends about the channel!
@@ProfessorDaveExplains Oh I have, but I'll certainly continue to spread the gospel!
This is just awesome. Every single time I felt confused in my college calculus lectures, I come to this channel!! Thanks for making math seem fun and understandable!!
i thought this is very hard
you prove me wrong
thank you Professor
you're a living legend you know that!! my professor tried his best but not enough. If only Feynman was here to see ur tutoring skills. Also i am deeply waiting for your ODE and PDEs in addition to any programming languages. i want to see you in Khan Academy level. having ur own website and all.
did the last exersise perfectly! Honestly, I thought I'd write some short resume I wouldn't fully understand with this video. I ended up writing a whole page with every example and in-betweens you did. I don't regret it, because I understood everything, and I won't struggle to remember it. Thank you so much for your easy explanations! You make integration seem so much easier!
(Cos theta / sin² theta)
= cot theta/ sin theta
=cot theta cosec theta
Could have used that too.
Thanks for the video. Great explaining. 👍
YOU MADE MY LIFE MUCH EASIER. THANKYOU SO MUCH. PLEASE MAKE VIDEOS ON ALL THE CHAPTERS FROM MATHS HL IB :D
Wow, didn't know cal2 could be that simple. Thanks for your magic!
You explain so nicely!!!!!
#RespectToProfessorDave
#FromIndia
Professor Dave really knows everything
just realized the same thing lmao
Thank you so much Professor Dave😍! This is a big help to my exam.
I don't like this.
Professor Dave, do you have some sort of pdf version of this whole series that can be quickly referenced? I would seriously pay money for it
I do not but I had thought of that before, maybe some day!
PROFESSOR DAVE YOU ARE MY HERO PLEASE POST THE REST OF YOUR CALCULUS VIDEOS TONIGHT I HAVE THE AP CALCULUS BC EXAM TOMORROW
Leo Bergmiller Please Professor Dave. Any more material you could release would save me on the exam tomorrow
this shit makes zero sense to me
man this thing is hard
its like nightmare
Bro this is so hard
May Allah bless you Professor Dave 🙏🙏
Dude no way you made everthing this simple
you are the master professor....I have to pay the fees for sure 😆
Best Ever
on 7 12 how 1 is change to teta
in csc*2 Q -1
This is really great thank prof DAVE
had to watch the video twice but i understand it a lot better now
Thank you for this.
Thank you sir for your dedication and for making this free! 🙏
thank you so much! your videos are really helpful love the visuals and how everything is taught in a concise matter under 20 minutes. i am looking forward to using your videos to tackle on organic chem this school year :)
This is so good. thank you!
oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on TH-cam except yours. thanks a lot my mentor!!
thank you so much< i was literally looking for this explanations for so long. so happy you made this video
Ditching my college prof and joining the prof dave army✊🏻
Ill give you 1 million dollars for this. Thanks.
Any calc BC kids here because your teacher didn't teach this in class?
Thanks so much for the videos! You should make content on multivariable calc!
i did that! keep going through the series.
If √9-x² was a denominator, what would be the first step to solve it?
You're a doctor.. because you vanished my tension about this calcus
Do you have integration by partial fractions
Thanku so much sir🙏🙏
totally agree!
but why \int \:x^3\sqrt{x^2-1}dx is not working?
Awesome video thanks a lot
Weldon sir
What just happened 😂😂
0:46 5 actually
Very clear and methodical explanation. Just wish he’d use arcsin to denote inverse sine.
why
This an insanely good way to teach a hard subject, G professor
Thanks 🙏🏻 .
Guys do you seriously understand this? I'm trying to study for my exam but damn I got nothin'
😢
hey man least you're not in calc 3 with an exam in
I watched 3 people try to teach these 3 concepts, what you did differently is explain the trig substitution's and identity's. I also like how you did not go to the next step, without mentioning exactly what you did(even if it was small) . Also starting off small before performing a problem Great work.
Why did you not take the absolute value of tan& , tan& is different in this case since. -pi/2
where does the tan in the denominator in the comprehension question come from?
Great professor 🙏🙏🙏.very nice explanation 😁😂😂.
👍
2:18 Why that(cos theta)has to be absolute value?
0:55 "a can be any positive number", and x or the theta from the cosine could have been negative
Bro this did clarify everything, tysm