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 ?
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!!
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!
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.
oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on RUclips 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.
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!
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 :)
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)
I skipped all my cal-1 and anything related to trig's during my highschool and here i am in clg taking maths & computing as major , ive delved in many2 videos and channels and i think your videos are always the best in explaining things and why/how we tackle them down Thank you for this amazing Channel and lectures
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
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 ?
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
ruclips.net/p/PLybg94GvOJ9HH55nqS_y_0ryk3foJ3kSX&si=VYGBbcHGR7nqABhR
Dude this is the hardest thing I’ve done in my life thanks for making it a little easier
No matter how hard the topic is, his intro makes it all look good!!
If you want him to earn money but can't afford patreon, just watch the whole of the skippable ad.
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!!
Thanks, Professor Dave, for giving a base in doing integration! I am now confident to work out any integration problem.
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!
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.
oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on RUclips except yours. thanks a lot my mentor!!
(Cos theta / sin² theta)
= cot theta/ sin theta
=cot theta cosec theta
Could have used that too.
Thanks for the video. Great explaining. 👍
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.
my online class proffesor only reads his presentation and doesn't it that much. Proffesor Dave you really helps me.
Professor Dave really knows everything
just realized the same thing lmao
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
Wow, didn't know cal2 could be that simple. Thanks for your magic!
brain hurty
lmao same
i thought this is very hard
you prove me wrong
thank you Professor
One small correction at 12:00 cos θ/sin^2 θ is equal to cot θ . csc θ which can be directly integrated to -csc θ + C instead of the u substitution
Not a correction. Just another way of doing it.
You explain so nicely!!!!!
#RespectToProfessorDave
#FromIndia
Thank you so much Professor Dave😍! This is a big help to my exam.
I wish this video had been around when I took Calc II in 2002 ... this makes so much more sense.
had to watch the video twice but i understand it a lot better now
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!
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 really great thank prof DAVE
Very clear and methodical explanation. Just wish he’d use arcsin to denote inverse sine.
why
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 :)
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)
YOU MADE MY LIFE MUCH EASIER. THANKYOU SO MUCH. PLEASE MAKE VIDEOS ON ALL THE CHAPTERS FROM MATHS HL IB :D
I skipped all my cal-1 and anything related to trig's during my highschool and here i am in clg taking maths & computing as major , ive delved in many2 videos and channels and i think your videos are always the best in explaining things and why/how we tackle them down Thank you for this amazing Channel and lectures
another computerfield + math 🔥
i didnt skip but just forgot high school calc
Thank you so much for this. This video has made trig subs a lot more understandable.
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?
this is the best class i've seen.
Wow! I wish I had you for calc!
this made the most confusing thing I've ever done slightly less confusing, every time you help
Excelente explicación, usted explica perfecto amigo...
Those tips helped me understand trig sub a lot more than before
Dude no way you made everthing this simple
This an insanely good way to teach a hard subject, G professor
This video is amazing, I love how slowly and clearly you explain!
Crystal clear! Thank you!
thank you so much< i was literally looking for this explanations for so long. so happy you made this video
You're a doctor.. because you vanished my tension about this calcus
This guy is amazing!!! 💯
This is so good. thank you!
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!
Ditching my college prof and joining the prof dave army✊🏻
This professor saves my grade every time
Thank you for this.
Thanks so much for the videos! You should make content on multivariable calc!
i did that! keep going through the series.
Bro this did clarify everything, tysm
I hate engineering lmao
Then don’t try and be an engineer lol
Brilliant concise explanation!
Will have a quiz in a few hours thank you for your help!
Best Ever
Thank so much Professor Dave😍! This is a big help to my exam in Calculus 2💗
you are the master professor....I have to pay the fees for sure 😆
this is so helpful thank you so much. wish I knew this channel before
Ill give you 1 million dollars for this. Thanks.
0:46 5 actually
U made it so easy bro appreciate it
man this thing is hard
its like nightmare
You might sub x=acos(theta), x=acot(theta), x=acsc(theta)
I am from Ghana
you are the matrix of calculus
Thanx Prof. Dave! I wish I had you for calc.!
Thanku so much sir🙏🙏
totally agree!
on 7 12 how 1 is change to teta
in csc*2 Q -1
Why did you not take the absolute value of tan& , tan& is different in this case since. -pi/2
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.
May u have all the happiness and peace in ur life💙
Grigory Perelman! Is that you!?
Can I choose x = a cos O for sqrt(a^2 - x^2) instead of x = a sin O ?
best vid ive seen on this
Bro this is so hard
Awesome video thanks a lot
Thanks 🙏🏻 .
I actually understand this! thank you
Thank you brotherrrr
toughest video till now, but i completed it
but why \int \:x^3\sqrt{x^2-1}dx is not working?
If √9-x² was a denominator, what would be the first step to solve it?
Brilliant, thank you
May Allah bless you Professor Dave 🙏🙏
Do you have integration by partial fractions
You are great. I am appreciated. Thank you :))))
Very educational indeed
u r fantastic
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?
Thank u..
THNKS REALLY HELPFULLLLL
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
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.
where does the tan in the denominator in the comprehension question come from?
thanks!!
Can't use power rule?
Done.
6:17 why do we bring theta up into the solution of dx/dt
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
Weldon sir