Hi all! Wanna help a TH-cam education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)
My calc 2 teacher is an indian lady with a thick and heavy accent (or so says RMP) so I'll be using JMT tutorials a lot. Thanks for the vids you are awesome. :)
@davil3535351 Bounds are for definite integration. When you convert from xes to u's and I'm assuming from xes to thetas, your bounds have to change from x values to u values/theta values so if it was int (0,2 pi) , and you set it up for x = 3tan theta, the new bounds are where 3 tan theta = 0 and 3 tan theta = 2 pi
why do we have to spend so much money on brick and mortar schools for lower level courses like calc 2? vids like this are all over the web and free. let's start the patrickJMT revolution people!! ;)
I don't know how teachers can take 3 hours and have difficulty teaching this to the class but you can do it so well in less than 13 minutes. Makes no sense to me. haha.
Agreeing to what identifyingkeywork said, it makes absolute no sense how most college professors cannot teach. This guy makes every thing clear, in a step by step approach to get to the answer. The world needs more people like Patrick. Fire all college professors!!!!!!
Great, also this can be done by u-sub taking u = x^2 + 9. du/2 = x dx. x^2 = u - 9. then split the numerator of the integral into x and x^2, and the rest is easy!
Why do you and profRob always use trig sub when you can just use normal standard u- substitution and still get the same answer in a shorter amount of time?
agreed, you could do a u-sub here and it looks to be faster. mainly this video is trying to show how trig subs work as there are times when a u-sub will not work
Hi all! Wanna help a TH-cam education OG? Please post comments, questions and anything else on your mind in the comment section! so, don’t forget to LIKE, THUMBS UP, and SUBSCRIBE! I’d appreciate it greatly as it helps me :)
Why I can learn better from your videos than most of my engineering math professors?
i really appreciate you Patrick
My calc 2 teacher is an indian lady with a thick and heavy accent (or so says RMP) so I'll be using JMT tutorials a lot. Thanks for the vids you are awesome. :)
@davil3535351 Bounds are for definite integration. When you convert from xes to u's and I'm assuming from xes to thetas, your bounds have to change from x values to u values/theta values so if it was int (0,2 pi) , and you set it up for x = 3tan theta, the new bounds are where 3 tan theta = 0 and 3 tan theta = 2 pi
great video! but why did 3^3 change to 3 at 9:40?
Because of the reason at 10:22
go 10:24
this is great!
Where is the Part 2 video ?
7:16
"Just hanging out over there"
i some times wonder i even go to lectures....
Yessir! Thank you a million times. God bless you for making this sooo simple!
Only Patrick's terms "float" and "hangout" Haha,
@LeeRyuuji sorry, you've already corrected it at the later part.. my bad. XP
why do we have to spend so much money on brick and mortar schools for lower level courses like calc 2? vids like this are all over the web and free. let's start the patrickJMT revolution people!! ;)
If it weren't for you i'ed honestly be lost in math. Thank you.
@gurtaj happy to help you all out :)
You are 10x better at teaching than my college professor ever will be and I thank you for that
Thank you for your great explanation. Wish you happy every day!
not a coincidence!
I don't know how teachers can take 3 hours and have difficulty teaching this to the class but you can do it so well in less than 13 minutes. Makes no sense to me. haha.
Agreeing to what identifyingkeywork said, it makes absolute no sense how most college professors cannot teach. This guy makes every thing clear, in a step by step approach to get to the answer. The world needs more people like Patrick. Fire all college professors!!!!!!
im not sure on what to do with the bounds, is that used during definite integration? if so can u please give an example
how we can set 1-x^2=sinθ or cosθ if 1-x^2 can take every value whereas sinθ and cosθ can take values from -1 to 1 ?
isn't this problem wrong, because you had 3^3 and then you didn't have it at the end? you started to ignore it let me know?
Great, also this can be done by u-sub taking u = x^2 + 9.
du/2 = x dx.
x^2 = u - 9.
then split the numerator of the integral into x and x^2, and the rest is easy!
@patrickJMT You should put this video on your website so I dont have to search for it on youtube.
Why did we not get 1/3 dx = sec^2 dθ in the first step?
@PatrickJMT You forgot to finish your identity that 1-Sin^2θ = Cos^2θ. Great videos, so extremely helpful.
@patrickJMT isn't it 3^3 @9:18?
u are really awesome and wonderful as I have struggled with this question for about three days and I still can't answer it
Is Trigonometric Substitution included in Calculus 1? :(
Why do you and profRob always use trig sub when you can just use normal standard u- substitution and still get the same answer in a shorter amount of time?
on which example?
ok, i guess there is only one example here.
what u-sub would you use?
agreed, you could do a u-sub here and it looks to be faster. mainly this video is trying to show how trig subs work as there are times when a u-sub will not work
Oh I see.
How about the sqr ( x^2 + a^2 )?
Dan Prosl it’s the same as sqrt of a^2+x^2, so use x=atantheta