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
zhlédnutí: 310

Video

Trigonometric Integrals Using Substitution - Tan and Sec (Part 3/3)
zhlédnutí 283Před 2 lety
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)
zhlédnutí 203Před 2 lety
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)
zhlédnutí 140Před 2 lety
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)
zhlédnutí 145Před 2 lety
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)
zhlédnutí 167Před 2 lety
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)
zhlédnutí 192Před 2 lety
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
zhlédnutí 487Před 3 lety
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)
zhlédnutí 250Před 3 lety
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
zhlédnutí 1,1KPřed 3 lety
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
zhlédnutí 13KPřed 5 lety
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
zhlédnutí 8KPřed 5 lety
Here, I explain how to use the washer method
Disk method tutorial
zhlédnutí 7KPřed 5 lety
Here, i give a tutorial on the disk method
The difference between disk, washer, and shell method
zhlédnutí 87KPřed 5 lety
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
zhlédnutí 4KPřed 5 lety
at 13:45: i meant to put " /- 1" , but i accidently forgot to put the 1.

Komentáře

  • @brax300
    @brax300 Před 5 hodinami

    Flow chart is awesome. Definitely using this. Thanks!

  • @jerwinatupan3736
    @jerwinatupan3736 Před měsícem

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

  • @muh.hamiddd
    @muh.hamiddd Před měsícem

    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 😃.

  • @user-hb9dy4jf2k
    @user-hb9dy4jf2k Před měsícem

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

  • @christinajethroe1733
    @christinajethroe1733 Před 2 měsíci

    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 Před 2 měsíci

    Excellent explanation🎉

  • @melkote
    @melkote Před 2 měsíci

    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 Před 2 měsíci

    Perdon

  • @angelaliu1285
    @angelaliu1285 Před 3 měsíci

    OMG THIS IS AWESOME U R AWESOME THANK U SM MUAHMUAHMUAH

  • @webosftw
    @webosftw Před 3 měsíci

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

  • @KIRBYCASICAS-ki2tp
    @KIRBYCASICAS-ki2tp Před 4 měsíci

    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 Před 4 měsíci

    I understand it from u

  • @markjannifi2lgoal333
    @markjannifi2lgoal333 Před 4 měsíci

    Thanks❤

  • @slowpoke8097
    @slowpoke8097 Před 4 měsíci

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

  • @HamsterCatLionn
    @HamsterCatLionn Před 5 měsíci

    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 Před 5 měsíci

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

  • @julianayagyu6088
    @julianayagyu6088 Před 5 měsíci

    Thank you soooo much

  • @16ndimngqo
    @16ndimngqo Před 5 měsíci

    Thank you so much.❤

  • @user-zi8to2vy4x
    @user-zi8to2vy4x Před 5 měsíci

    Bless your soul 😭

  • @ianmedin2762
    @ianmedin2762 Před 6 měsíci

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

  • @vibhavadayar4719
    @vibhavadayar4719 Před 6 měsíci

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

  • @dellaram4129
    @dellaram4129 Před 6 měsíci

    Oh my god You are my god

  • @jayxxautumn2422
    @jayxxautumn2422 Před 6 měsíci

    i have exam tmr and this literally saved me !!

  • @BrookeLarimer-tw6mu
    @BrookeLarimer-tw6mu Před 6 měsíci

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

  • @fabihanazat6200
    @fabihanazat6200 Před 7 měsíci

    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 Před 7 měsíci

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

  • @kelly-bc6on
    @kelly-bc6on Před 7 měsíci

    what an absolute GEM of a video, thank you!

  • @area3o1
    @area3o1 Před 7 měsíci

    most under rated math video

  • @rayannouh7558
    @rayannouh7558 Před 7 měsíci

    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 Před 8 měsíci

    Thanks alot maaam

  • @JRyanEE
    @JRyanEE Před 9 měsíci

    This is the kind of teaching I can learn from.

  • @RGUKT4EVER
    @RGUKT4EVER Před 10 měsíci

    Great work❤

  • @yona9257
    @yona9257 Před 10 měsíci

    thank you sm!

  • @amorpink8538
    @amorpink8538 Před 11 měsíci

    Your saving my calculus 2 grade! 🙏🏽

  • @waactics
    @waactics Před 11 měsíci

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

  • @nelsondiaz3013
    @nelsondiaz3013 Před 11 měsíci

    This is probably the third time I commented on a CZcams 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.

  • @nankoburst3493
    @nankoburst3493 Před 11 měsíci

    THANK U THANK U THANK UUUUUUU IYSM FOR THIS VID

  • @avaaa980
    @avaaa980 Před rokem

    excellent video thank you

  • @user-xj2pf4pl9p
    @user-xj2pf4pl9p Před rokem

    how is she only has 808 subs, you ungrateful brat, subscribe!

  • @tentan4817
    @tentan4817 Před rokem

    Thank youuuuu so muchhh ashley! i was having a problem in picking which formula to use. Your way has solve my problem,lots of love to you^^

  • @Kaleabe25
    @Kaleabe25 Před rokem

    God bless you 🙏 perfect way to learn.

  • @thaumaston7
    @thaumaston7 Před rokem

    Excellent! It's been a while since I dealt with solids of revolution from calc 2, but I needed to review this topic for something. I programmed the formulas in my calculator, and the only thing I needed to remember is when to use washer vs shell. This video cuts to the chase and is more helpful than any other I've seen. However, I think there's a simpler way to think of it. I only have two programs for this in my calculator -- one for washer, one for shell. There's no need for "disk". Disk is just a variation of washer. In my washer code, I enter a value for any separation from the rotating axis. When there's no separation, the value is 0 (creating the "disk"). This is also how I've seen it taught in various calc 2 texts -- just washer vs. shell. I think it's easier to think of two choices rather than 3.

  • @quinnpuffer7901
    @quinnpuffer7901 Před rokem

    Amazing video, explained everything super simple and easy to understand

  • @katesmith6528
    @katesmith6528 Před rokem

    This was beyond helpful!! Thank you so much

  • @gwensimmons_gigi1629

    Kudos!🎉❤ Thank you!

  • @dahliatodorov9263
    @dahliatodorov9263 Před rokem

    u just saved my life i love you

  • @subhammaharana1540
    @subhammaharana1540 Před rokem

    It is the best video for distinguish between disk, shell and washer method. Nice explanation 😊😊

  • @rachelmartinez3544
    @rachelmartinez3544 Před rokem

    this helped so much you don't understand

  • @yoooo7568
    @yoooo7568 Před rokem

    Why didn't my calc teacher explain when to use horizontal vs vertical slices... thank you for explaining