Ashley The Math Tutor
Ashley The Math Tutor
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Trig Substitution Integrals [ √(a^2) - (x^2) ], [ √(x^2) + (a^2) ], and [ √(x^2) - (a^2) ]
Hey Guys! Welcome back to my channel.
In this unit, we will be talking about integrating functions that involve one of the square root expressions
[ √(a^2) - (x^2) ] , [ √(x^2) + (a^2) ] , and [ √(x^2) - (a^2) ]
It involves trig in order to solve the problem, which is why I called it “trig substitution”.
I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon%20Rogawski%2C%20Colin%20Adams-Calculus_%20Early%20Transcendentals-W.%20H.%20Freeman%20%282015%29.pdf?dl=0
Link for notes to this video (and extra example problem): drive.google.com/file/d/1tmr8cppBwjfllo3syaBDKQUh5kAei6fN/view?usp=sharing
Link for addition help/any comments: docs.google.com/forms/d/e/1FAIpQLSegcdImr8e9Gc5buJ7WWgUxhRewimzK0BmHzI9G8wN-GR5Rlg/viewform?usp=sf_link
#calculus #calculus2 #calculustwo #trigintegrals #trigonometricintegrals #trigintegral #trigonometricintegral #integration #trigintegration #collegemath #collegemathtutor #mathtutor
Переглядів: 395

Відео

Trigonometric Integrals Using Substitution - Tan and Sec (Part 3/3)
Переглядів 2942 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Trigonometric Integrals Using Substitution - Tan and Sec (Part 2/3)
Переглядів 2432 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Trigonometric Integrals Using Substitution - Tan and Sec (Part 1/3)
Переглядів 1462 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Trig Integrals Using Substitution - Sin and Cos (Part 3/3)
Переглядів 1492 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Trigonometric Integrals Using Substitution - Sin and Cos (Part 1/3)
Переглядів 1772 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Trigonometric Integrals Using Substitution - Sin and Cos (Part 2/3)
Переглядів 2012 роки тому
Hey Guys! Welcome back to my channel. In this unit, we will be talking about trigonometric integrals using substitution (trig integrals of higher powers, where the power is 1 or greater). I uploaded a free calculus textbook to my dropbox, you can access the textbook using the following link: www.dropbox.com/s/utdpj4n4f1h0izs/Jon Rogawski, Colin Adams-Calculus_ Early Transcendentals-W. H. Freema...
Integration by Parts Tutorial - (Part 1) Introduction and Examples
Переглядів 5213 роки тому
Hey guys! Here is part 1 of the integration by methods tutorial. In part, I go over what integration by parts is, when to use it, the steps for how to apply integration by parts to an integral, and examples on how it works. In part 2 (the next video after this), I discuss helpful tips and tricks for tricky integration by parts problems such as when the integration by parts problem keeps repeati...
Integration by Parts Tutorial - (Part 2) Helpful Tips Tricky Problems (Repetition Problems)
Переглядів 2683 роки тому
Hey guys! Here is part 2 of the integration by methods tutorial. In part 2, I go over helpful tips and tricks for tricky integration by parts problems such as when the integration by parts problem keeps repeating, and how to solve them. In part 1 (the previous video before this), I discuss what integration by parts is, when to use it, the steps for how to apply integration by parts to an integr...
Welcome to My Channel! - Ashley the Math Tutor
Переглядів 1,1 тис.3 роки тому
Hello all! I am Ashley, the Math Tutor. Welcome to my channel! Here’s a little introductory video about my channel. I will be uploading college level math tutoring videos to help college students struggling in math! Don’t forget to like and subscribe! Thanks for watching. :)
Shell method tutorial
Переглядів 14 тис.6 років тому
Here, I explain how to use shell method at 8:04, i meant to say "about the y axis" at 10:10, i meant to say "drop the i from xi" sorry
Washer method tutorial
Переглядів 9 тис.6 років тому
Here, I explain how to use the washer method
Disk method tutorial
Переглядів 7 тис.6 років тому
Here, i give a tutorial on the disk method
The difference between disk, washer, and shell method
Переглядів 95 тис.6 років тому
Here, I explain the difference between disk, washer, and shell method, and which scenerio you should use each method for.
Finding area between two curves - tutorial
Переглядів 4,3 тис.6 років тому
at 13:45: i meant to put " /- 1" , but i accidently forgot to put the 1.

КОМЕНТАРІ

  • @alfredrayong7477
    @alfredrayong7477 14 днів тому

    thank you so much, very helpful and demure

  • @laurareyes5297
    @laurareyes5297 17 днів тому

    I love yooouu sooo much! You made this video easy to follow and understand the subject. I wish my professor took the time to do it just like this. My professor went straight into teaching it without explaining why she was using certain methods. I'm glad I found this video before my calculus finale, that is taking place tomorrow

  • @HafsaIqbal-d2x
    @HafsaIqbal-d2x 19 днів тому

    Hlo mam on topic of disc ,washer and arc length k topics pr mra quiz ha kindly tell me what i do for the mcqs about this topic

  • @MariaAzevedo__
    @MariaAzevedo__ 25 днів тому

    this is the best tutorial ive ever seen tysm u are a queen

  • @musaic6095
    @musaic6095 Місяць тому

    Girl this was so helpful but why tf you writing in sharpie im dying

  • @MytheuzYecyec
    @MytheuzYecyec Місяць тому

    Thank you so much, I watched all your videos from disk, washer, to shell and it really helped me A LOT. May God bless you and may God bless me with my exam today. 🙏🏻

  • @loveyou-sm-
    @loveyou-sm- Місяць тому

    literally trying to cram as much as possible for a calc1 exam tomorrow, and i'm so thankful to have come across these videos. thank you so much!

  • @nevin3543
    @nevin3543 2 місяці тому

    You are a LEGEND. Thank you

  • @ritvikindupuri2388
    @ritvikindupuri2388 3 місяці тому

    Late, and just finding about this method as I am doing this in Calculus 2. Love the method however one thing is i believe y= functions should have a horizontal strip as the function is defined for a range of x-values, and the y-values correspond to the output of the function at each x. So, horizontal strips (which focus on how y varies for each x) are the natural way to analyze these types of functions. In contrast, x = functions would use vertical strips since they are defined for ranges of y-values and show how x depends on y.

  • @namandeepkaur5949
    @namandeepkaur5949 3 місяці тому

    hi, youre amazing

  • @luk45ful
    @luk45ful 3 місяці тому

    This is such a nice way of describing when to use each method! I definitely appreciate it!

  • @collinknowles5333
    @collinknowles5333 3 місяці тому

    Still helping people five years later ashley

  • @SamkeloCele-p6e
    @SamkeloCele-p6e 3 місяці тому

    3 years later and she still saving lives, God bless you

  • @vbhalo163
    @vbhalo163 3 місяці тому

    Great video, it helped a lot. Just one little mistake, for the problem y=3x-10 and y=6-x the lines are switched so it tripped me up as i tried graphing the functions by hand. Besides that all great stuff

  • @brax300
    @brax300 4 місяці тому

    Flow chart is awesome. Definitely using this. Thanks!

  • @jerwinatupan3736
    @jerwinatupan3736 5 місяців тому

    Thanks. The best tutorial I viewed so far. Keep it up:)

  • @muh.hamiddd
    @muh.hamiddd 5 місяців тому

    Oh my god, it's a very difficult material but you manage to simplify it. What a phenomenal video. You've just helped me to understand the materials under 15 minutes. This video deserves to be on top of the searching lists so that people can notice it. You have just saved me and my friends to comprehend the topic. Hopefully, you'll become one of the best math youtube channel tutorials in the future. I'll be watching A.S.A.P. Thank you so much 😃.

  • @ケン-k9j
    @ケン-k9j 5 місяців тому

    if the curve is xy=1, is the strip vertical or horizontal?

  • @christinajethroe1733
    @christinajethroe1733 6 місяців тому

    I wish I would’ve found your account sooner! You are TRULY one of the best at teaching Calc II! I’ve struggled for years trying to understand and got it instantly when watching your videos. You’re amazing and thank you so much for your work! :)

  • @williammwanza8042
    @williammwanza8042 6 місяців тому

    Excellent explanation🎉

  • @melkote
    @melkote 6 місяців тому

    Bless you oml you are such an easy person to listen to. Was reviewing for calc exam soon and this video summarized one of those sections extremely well!

  • @sywizen238
    @sywizen238 6 місяців тому

    Perdon

  • @angelaliu1285
    @angelaliu1285 7 місяців тому

    OMG THIS IS AWESOME U R AWESOME THANK U SM MUAHMUAHMUAH

  • @webosftw
    @webosftw 7 місяців тому

    This flow chart is a life saver for Calc! Thank you so much for creating this. I really appreciate it.

  • @KIRBYCASICAS-ki2tp
    @KIRBYCASICAS-ki2tp 8 місяців тому

    I immediately lower the volume of my device when you're about to draw a strip haha anyways, thank you for this, you delivered this concept well that made calc2 becomes easy

  • @markjannifi2lgoal333
    @markjannifi2lgoal333 8 місяців тому

    I understand it from u

  • @markjannifi2lgoal333
    @markjannifi2lgoal333 8 місяців тому

    Thanks❤

  • @slowpoke8097
    @slowpoke8097 8 місяців тому

    Thank you so much! This has been the best video on describing volume, you've helped me tremendously. My grade thanks you 😭✨

  • @HamsterCatLionn
    @HamsterCatLionn 9 місяців тому

    Unironically one of the most clear and concise calculus videos I've ever seen. If you aren't already you should consider teaching.

  • @N0H3A_12
    @N0H3A_12 9 місяців тому

    Thank you so much, your step-by-step explanation is incredibly helpful and makes this topic more clearer. Love the content!

  • @julianayagyu6088
    @julianayagyu6088 9 місяців тому

    Thank you soooo much

  • @16ndimngqo
    @16ndimngqo 10 місяців тому

    Thank you so much.❤

  • @DestinyMercedezWhite
    @DestinyMercedezWhite 10 місяців тому

    Bless your soul 😭

  • @ianmedin2762
    @ianmedin2762 10 місяців тому

    I just learned so much it's all clicking now!!! Thank you!

  • @vibhavadayar4719
    @vibhavadayar4719 10 місяців тому

    Thanks so much! This was so well formatted and easy to understand!

  • @dellaram4129
    @dellaram4129 10 місяців тому

    Oh my god You are my god

  • @jayxxautumn2422
    @jayxxautumn2422 10 місяців тому

    i have exam tmr and this literally saved me !!

  • @BrookeLarimer-tw6mu
    @BrookeLarimer-tw6mu 11 місяців тому

    The hidden heroes of UA-cam strike again! Have my first calc 2 exam in two days. Thank you so much!

  • @fabihanazat6200
    @fabihanazat6200 11 місяців тому

    What would u do to figure out where the strip is if you have an x= and y= equation? Is it horizontal or vertical?

  • @TheJackTheLion
    @TheJackTheLion 11 місяців тому

    I have to say, well done. This will help a lot of people.

  • @kelly-bc6on
    @kelly-bc6on 11 місяців тому

    what an absolute GEM of a video, thank you!

  • @area3o1
    @area3o1 11 місяців тому

    most under rated math video

  • @rayannouh7558
    @rayannouh7558 11 місяців тому

    Thanks for your explanation but I have a question You said that in the x-axis y is always 0 what about when it comes to y-axis what x will be?

  • @AhmadRaza-br5tn
    @AhmadRaza-br5tn Рік тому

    Thanks alot maaam

  • @JRyanEE
    @JRyanEE Рік тому

    This is the kind of teaching I can learn from.

  • @RGUKT4EVER
    @RGUKT4EVER Рік тому

    Great work❤

  • @yona9257
    @yona9257 Рік тому

    thank you sm!

  • @amorpink8538
    @amorpink8538 Рік тому

    Your saving my calculus 2 grade! 🙏🏽

  • @waactics
    @waactics Рік тому

    I APPRECIATE YOU SO MUCH, it’s been challenging understanding this concept in class but your videos help so much!!!

  • @nelsondiaz3013
    @nelsondiaz3013 Рік тому

    This is probably the third time I commented on a UA-cam video in 10 years. I just had to, this is amazing. Calculus 2 is known to be one of the hardest classes you will ever encounter but you did an amazing job at explaining it. I am going to show this to my teacher because it's just too good. Thank you for the hard work you put into this video.