Integration By Trigonometric Substitution

We've got two techniques in our bag of tricks, the substitution rule and integration by parts, so it's time to learn the third and final, and that's integration by trigonometric substitution. This is probably the toughest one, and it only works in very specific circumstances, but when those circumstances arise, it works like a charm! So let's make sure we know how to execute this bad boy.

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[lanepotts]

Dude this is the hardest thing I’ve done in my life thanks for making it a little easier

[emmacatte]

Professor Dave has carried me through Ochem and now Calc 2. If only he did microbio

[sunya]

Professor Dave deserves our tuition fee. I'm learning effectively to him rather than university professors tbh

[rachitagarwal]

No matter how hard the topic is, his intro makes it all look good!!

[jethior]

oh my God! it takes me only 15 min to understand what our lecturer hasn't explained efficiently for one year. even here on YouTube except yours. thanks a lot my mentor!!

[gekkouga]

Thanks, Professor Dave, for giving a base in doing integration! I am now confident to work out any integration problem.

[jhooper]

This man does in 15 minutes what my professor is unable to do in 4 hours. Thank you Professor Dave for getting me through calculus.

[bifengxiao]

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!!

[albabelen]

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!

[eyoelgashaw]

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.

[POPFARRT]

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.

[shahrukhqaiser]

(Cos theta / sin² theta)
= cot theta/ sin theta
=cot theta cosec theta
Could have used that too.

Thanks for the video. Great explaining. 👍

[junisaresilvosa]

my online class proffesor only reads his presentation and doesn't it that much. Proffesor Dave you really helps me.

[dakshbadal]

If you want him to earn money but can't afford patreon, just watch the whole of the skippable ad.

[leobergmiller]

PROFESSOR DAVE YOU ARE MY HERO PLEASE POST THE REST OF YOUR CALCULUS VIDEOS TONIGHT I HAVE THE AP CALCULUS BC EXAM TOMORROW

[aaronzai]

Wow, didn't know cal2 could be that simple. Thanks for your magic!

[jasonb.]

I wish this video had been around when I took Calc II in 2002 ... this makes so much more sense.

[franzjarvybaconawa]

Those tips helped me understand trig sub a lot more than before

[reginalorenorcena]

Thank you so much Professor Dave😍! This is a big help to my exam.

[mosshead_vinsmoke]

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