Trigonometric Substitution Example 1 Part 1
Vložit
- čas přidán 27. 06. 2024
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! The last bit of the video cuts out before I got finished, but you can see the end of the example in the video 'Trigometric Substitution Example 1 Part 2'!
For more free math videos, please visit:
justmathtutoring.com
and click on the 'Free Video Lessons' tab on the left!
Just Math Tutoring
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. :)
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!!!!!!
Yessir! Thank you a million times. God bless you for making this sooo simple!
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!
i really appreciate you Patrick
Why I can learn better from your videos than most of my engineering math professors?
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!! ;)
this is great!
If it weren't for you i'ed honestly be lost in math. Thank you.
@PatrickJMT You forgot to finish your identity that 1-Sin^2θ = Cos^2θ. Great videos, so extremely helpful.
Only Patrick's terms "float" and "hangout" Haha,
u are really awesome and wonderful as I have struggled with this question for about three days and I still can't answer it
@gurtaj happy to help you all out :)
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!
great video! but why did 3^3 change to 3 at 9:40?
Because of the reason at 10:22
go 10:24
@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
@LeeRyuuji sorry, you've already corrected it at the later part.. my bad. XP
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 ?
@patrickJMT isn't it 3^3 @9:18?
not a coincidence!
@patrickJMT You should put this video on your website so I dont have to search for it on youtube.
"Just hanging out over there"
Why did we not get 1/3 dx = sec^2 dθ in the first step?
Is Trigonometric Substitution included in Calculus 1? :(
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
Where is the Part 2 video ?
7:16
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.
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?
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.
i some times wonder i even go to lectures....