Evaluating Integrals With Trigonometric Functions

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  • Опубликовано: 2 янв 2025

Комментарии • 74

  • @vex3315
    @vex3315 6 лет назад +95

    This is a lifesaver for me. This is actually one of the topics that I couldn't grasp a few weeks ago and this week is already our finals. I am a SHS student in the Philippines and I am frequently using your content to learn in advance or study the topics for our quizzes so I am grateful to you Sir! I hope I can help directly by giving donations but I make sure I share your videos to my classmates. Thank you!

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  6 лет назад +37

      Awesome! Any donations to my Patreon page are most appreciated! But failing that just tell your friends to subscribe :)

    • @shrimpjar3612
      @shrimpjar3612 Год назад +2

      I'm in Southern New Hampshire university and I cannot believe how much this video helped me! I couldn't understand my professor at all without this.

    • @kiransingh2225
      @kiransingh2225 6 месяцев назад +1

      what are u doing now?

  • @adhel-estebanriverarodrigu2234
    @adhel-estebanriverarodrigu2234 2 года назад +13

    DUDE! You seriously have a gift of teaching! I was thinking of dropping out of Calculus because I didn't understand anything, and with this video, and reviewing the video you recommended, you got me up to speed in less than a day!!! YOU ARE A LIFE SAVER!!!!
    Thank you so much for what you do!!! Keep up the great work!!!

  • @Bankosek
    @Bankosek 11 месяцев назад +2

    I love your modern content, but those tutorials will stay relevant and great for ages.

  • @Salamanca-joro
    @Salamanca-joro 9 месяцев назад

    Absolute legend man i watched multiple videos and you were one of the few who could explain it cause i was lost

  • @anthonyvicker8033
    @anthonyvicker8033 3 года назад +3

    Wow! This is really good sir. From Kenya( Africa)

  • @sewwandiishara9828
    @sewwandiishara9828 4 года назад +7

    Thank you very much sir...(from sri lanka..)
    3month lecture in 10min.. 🙏👍👍

  • @Kiky_MedPhysicist
    @Kiky_MedPhysicist 4 месяца назад +1

    Thank you sir for your dedication and for making this free! 🙏

  • @DBear8008
    @DBear8008 2 года назад +1

    I missed the class where we talked about this stuff, and I have been singing the intro song all day in anticipation for doing my homework on this

  • @Salamanca-joro
    @Salamanca-joro 9 месяцев назад

    5:44 or we can also say sin^2x/cos2^x which will be[ tanx] and cos^2x/cos^2x will be 1 and we will get :
    The integer tan^2x+1 which will be the integer of sec^2x which is tanx+c

  • @francisgregoryku1689
    @francisgregoryku1689 5 лет назад +18

    Chemistry physics and now calculus??? Mah mannn!

  • @priyamuskan5468
    @priyamuskan5468 6 лет назад +11

    Thank you so much sir.

  • @lalahappy6779
    @lalahappy6779 4 года назад +3

    Thanks for the explanation 🌹

  • @yuko6794
    @yuko6794 Месяц назад

    Clutching this for my first period exam tomorrow because I can't keep up with basic calculous classes ESPECIALLY when they classes get moved to online because of tropical storms.

  • @littleretroship6403
    @littleretroship6403 2 года назад +5

    Holy cow this is hard. I can’t imagine how integration is gonna be later on

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 года назад +3

      Don't worry, it gets worse.

    • @littleretroship6403
      @littleretroship6403 2 года назад +2

      @@NoActuallyGo-KCUF-Yourself my then 13 year old brain was too stupid to handle that but now I’m a cool 14 year old so I think I should be able to handle it. (Plus I don’t have much time left on this earth since im an old man)

  • @ok22283
    @ok22283 4 месяца назад +1

    pure legend

  • @aselim20.
    @aselim20. 11 месяцев назад +1

    I watched it twice and I took notes.

  • @PreciousEkpenyong-wq2zw
    @PreciousEkpenyong-wq2zw Год назад

    Thanks a lot, I really understood 🙏

  • @Pupa_Verse
    @Pupa_Verse 15 дней назад

    I really admire you!

  • @RayanRaya-o5q
    @RayanRaya-o5q 6 месяцев назад

    Thank you so so much 💗💗💗

  • @Mind-blowinglife.official
    @Mind-blowinglife.official 5 лет назад +7

    It's easy to understand 👌

  • @topiado2073
    @topiado2073 5 лет назад +5

    Sir would the rule of questient and multiple hold in definite integral??? Plizz...

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 лет назад +1

      Sorry I’m not sure what you mean.

    • @topiado2073
      @topiado2073 5 лет назад +1

      sir will product and quotient rule be applied to definite integral..,?? Well as u mentioned that for indefinite integral there's no product and quotient rule as compare to that of derivative has... Hope u gotta point sir🙂

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 лет назад +2

      no, integration has no such rules, which is why it's more difficult, check out my other tutorials on u substitution, integration by parts, trig substitution, these are the techniques we use when integrating.

    • @topiado2073
      @topiado2073 5 лет назад +1

      @@ProfessorDaveExplainssir may i hv ur contact no,...so that i could ask u problem regarding calculus sometimes🙂plizz sir

    • @BenGoroshnik
      @BenGoroshnik 3 года назад

      @@topiado2073 wtf

  • @mc2092
    @mc2092 4 года назад +1

    Need more videos 😭🥺🙏

  • @sophieroot6657
    @sophieroot6657 3 года назад

    THANK YOU KING

  • @kaihsu_angels
    @kaihsu_angels 5 лет назад +1

    Just subscribed 😊

  • @TheFirstNamelessOne
    @TheFirstNamelessOne 5 лет назад +6

    Sir, could you give me the reason of this? Why do these trigonometric functions behave like this when integrated?

    • @kbailkeri
      @kbailkeri 4 года назад +1

      He already explained them in this video,
      ruclips.net/video/_Zqcxbjzyxg/видео.html

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 года назад

      What do you mean by "why"? The reason is that is what happens when you perform the operations.

    • @kzkaa.
      @kzkaa. 7 месяцев назад

      Ignore the other guy. This is actually a very good question, and it has something to do with what you're really doing when you integrate a function. As you probably already know, integration is all about finding the area of a function. One way to think of it is that whenever an antiderivative goes up, then the area underneath its corresponding derivative also goes up and vice versa.
      Of course, I'm no experts, so you'd have to verify it yourself.

    • @henrygalvan9333
      @henrygalvan9333 6 месяцев назад

      You think it helps to uderstand whats happening graphically? M ​@kzkaa.

  • @nayanpatel312
    @nayanpatel312 3 года назад

    Simply, Awsm

  • @vashman01
    @vashman01 2 года назад

    What to do when evaluating trig functions with respect to y? Evaluate the integral of tanxdy from 0 to 7? What about sinxdy from 0 to 7?

    • @multiplyx5864
      @multiplyx5864 2 года назад

      those are definite integrals. There is a separate video on that

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 года назад

      If the variable of integration is y, any functions of x are treated as constants.

    • @An_ony_mous
      @An_ony_mous Год назад

      The answer is 7sinx and 7tanx. sinx and tanx are constants because given variable is y.

  • @smookytubes
    @smookytubes 2 года назад +2

    Can you do some problems using u substitution with trig integrals?

    • @biphysimath-special3231
      @biphysimath-special3231 2 года назад

      Happy to inform You that a new video has been uploaded
      ruclips.net/video/HHuiSetD-6w/видео.html Please have a look

  • @cassandraguzman2316
    @cassandraguzman2316 3 года назад

    thank you

  • @zorozoro1442
    @zorozoro1442 3 года назад +1

    perfect!

  • @rjf5790
    @rjf5790 4 года назад +2

    can we prove this using the U-substitution?

  • @satbirsingh7269
    @satbirsingh7269 6 лет назад +2

    Hello sir! How r u???!!

  • @furejul7619
    @furejul7619 3 года назад

    you teach great and i understand.but you dont teach all the trigonometry identities making me hard to relate in in your question

  • @tturkuaz
    @tturkuaz 9 месяцев назад

    Probably ı will pass the class with you

  • @Baburun-Sama
    @Baburun-Sama 2 года назад +2

    "Sine! Cosine! Tangent! Integral! Permutation!" - Ringo Ando

  • @obaidaljabry3899
    @obaidaljabry3899 3 года назад

    how to integrate sin2x/(1+cons^2)

  • @alyrainnee4939
    @alyrainnee4939 11 месяцев назад

    tysm!!!!

  • @tGoldenPhoenix
    @tGoldenPhoenix 3 года назад

    Done.

  • @lazyonigiri5665
    @lazyonigiri5665 3 года назад

    thankyouuuu

  • @taliyamurad8208
    @taliyamurad8208 3 года назад

    I Like it 😍

  • @mscience8806
    @mscience8806 6 лет назад +5

    Math is CRACK to me !,, thank you!,,,!,

  • @atchuk9045
    @atchuk9045 6 лет назад

    Nice

  • @aradan4955
    @aradan4955 4 года назад +5

    You didn’t do tan

    • @fffmcfff9112
      @fffmcfff9112 20 дней назад

      Don't worry, I got you.
      tan x dx = - ln |cos x|

  • @VaryprshotOfficial
    @VaryprshotOfficial 3 года назад +3

    thank you jesus!

  • @kiven6890
    @kiven6890 2 года назад

    You shed what you write we can't see

    • @CalviNsiku
      @CalviNsiku 6 месяцев назад

      Dont say we...say i cant see.....

  • @ambervancott3486
    @ambervancott3486 6 лет назад +1

    ;)wink wink