Evaluating Integrals With Trigonometric Functions

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  • Опубліковано 6 січ 2025

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  • @vex3315
    @vex3315 6 років тому +96

    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 років тому +37

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

    • @shrimpjar3612
      @shrimpjar3612 Рік тому +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 місяців тому +1

      what are u doing now?

  • @adhel-estebanriverarodrigu2234
    @adhel-estebanriverarodrigu2234 2 роки тому +14

    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 місяців тому +2

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

  • @Salamanca-joro
    @Salamanca-joro 10 місяців тому

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

  • @Kiky_MedPhysicist
    @Kiky_MedPhysicist 4 місяці тому +1

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

  • @sewwandiishara9828
    @sewwandiishara9828 4 роки тому +7

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

  • @anthonyvicker8033
    @anthonyvicker8033 3 роки тому +3

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

  • @Salamanca-joro
    @Salamanca-joro 9 місяців тому

    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

  • @DBear8008
    @DBear8008 2 роки тому +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

  • @francisgregoryku1689
    @francisgregoryku1689 5 років тому +19

    Chemistry physics and now calculus??? Mah mannn!

  • @priyamuskan5468
    @priyamuskan5468 6 років тому +11

    Thank you so much sir.

  • @lalahappy6779
    @lalahappy6779 4 роки тому +3

    Thanks for the explanation 🌹

  • @yuko6794
    @yuko6794 2 місяці тому

    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 роки тому +6

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

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 роки тому +4

      Don't worry, it gets worse.

    • @littleretroship6403
      @littleretroship6403 2 роки тому +3

      @@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 5 місяців тому +1

    pure legend

  • @aselim20.
    @aselim20. 11 місяців тому +1

    I watched it twice and I took notes.

  • @Pupa_Verse
    @Pupa_Verse 19 днів тому

    I really admire you!

  • @RayanRaya-o5q
    @RayanRaya-o5q 6 місяців тому

    Thank you so so much 💗💗💗

  • @PreciousEkpenyong-wq2zw
    @PreciousEkpenyong-wq2zw Рік тому

    Thanks a lot, I really understood 🙏

  • @Mind-blowinglife.official
    @Mind-blowinglife.official 5 років тому +7

    It's easy to understand 👌

  • @kaihsu_angels
    @kaihsu_angels 5 років тому +1

    Just subscribed 😊

  • @topiado2073
    @topiado2073 5 років тому +5

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

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  5 років тому +1

      Sorry I’m not sure what you mean.

    • @topiado2073
      @topiado2073 5 років тому +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 років тому +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 років тому +1

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

    • @BenGoroshnik
      @BenGoroshnik 3 роки тому

      @@topiado2073 wtf

  • @mc2092
    @mc2092 4 роки тому +1

    Need more videos 😭🥺🙏

  • @sophieroot6657
    @sophieroot6657 3 роки тому

    THANK YOU KING

  • @Baburun-Sama
    @Baburun-Sama 2 роки тому +2

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

  • @nayanpatel312
    @nayanpatel312 3 роки тому

    Simply, Awsm

  • @zorozoro1442
    @zorozoro1442 3 роки тому +1

    perfect!

  • @cassandraguzman2316
    @cassandraguzman2316 3 роки тому

    thank you

  • @vashman01
    @vashman01 2 роки тому

    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 роки тому

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

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 роки тому

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

    • @An_ony_mous
      @An_ony_mous Рік тому

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

  • @TheFirstNamelessOne
    @TheFirstNamelessOne 5 років тому +6

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

    • @kbailkeri
      @kbailkeri 4 роки тому +1

      He already explained them in this video,
      ua-cam.com/video/_Zqcxbjzyxg/v-deo.html

    • @NoActuallyGo-KCUF-Yourself
      @NoActuallyGo-KCUF-Yourself 2 роки тому

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

    • @kzkaa.
      @kzkaa. 8 місяців тому

      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 місяців тому

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

  • @smookytubes
    @smookytubes 2 роки тому +2

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

    • @biphysimath-special3231
      @biphysimath-special3231 2 роки тому

      Happy to inform You that a new video has been uploaded
      ua-cam.com/video/HHuiSetD-6w/v-deo.html Please have a look

  • @alyrainnee4939
    @alyrainnee4939 11 місяців тому

    tysm!!!!

  • @rjf5790
    @rjf5790 4 роки тому +2

    can we prove this using the U-substitution?

  • @taliyamurad8208
    @taliyamurad8208 3 роки тому

    I Like it 😍

  • @lazyonigiri5665
    @lazyonigiri5665 3 роки тому

    thankyouuuu

  • @satbirsingh7269
    @satbirsingh7269 6 років тому +2

    Hello sir! How r u???!!

  • @obaidaljabry3899
    @obaidaljabry3899 3 роки тому

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

  • @furejul7619
    @furejul7619 3 роки тому

    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 місяців тому

    Probably ı will pass the class with you

  • @tGoldenPhoenix
    @tGoldenPhoenix 3 роки тому

    Done.

  • @mscience8806
    @mscience8806 6 років тому +5

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

  • @atchuk9045
    @atchuk9045 6 років тому

    Nice

  • @VaryprshotOfficial
    @VaryprshotOfficial 3 роки тому +3

    thank you jesus!

  • @aradan4955
    @aradan4955 4 роки тому +5

    You didn’t do tan

    • @fffmcfff9112
      @fffmcfff9112 24 дні тому

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

  • @kiven6890
    @kiven6890 2 роки тому

    You shed what you write we can't see

    • @CalviNsiku
      @CalviNsiku 6 місяців тому

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

  • @ambervancott3486
    @ambervancott3486 6 років тому +1

    ;)wink wink