Integral of cos^3x

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  • Опубликовано: 12 сен 2024
  • This calculus video tutorial explains how to find the integral of cos^3x using the u-substitution integration technique.
    Calculus 1 Final Exam Review: • Calculus 1 Final Exam ...
    Full-Length Exam Videos: / mathsciencetutor
    Calculus Video Playlists: www.video-tuto...
    _______________________________________________________________________________________
    Integration & Antiderivatives: • Calculus 1 - Integrati...
    Calculus 1 - Derivatives: • Calculus 1 - Derivatives
    Integral of 1/Sqrt(x): • Integral of 1/sqrt(x)
    Integral of |x|: • Integral of absolute v...
    Integral of Cos(2x): • Integral of Cos(2x)
    Integral of Cos^2(x): • Integral of cos^2x
    Integral of Sin^2(x): • Integral of Sin^2x
    Integral of Sin^4(x): • Integral of sin^4x
    Integral of Tan^2(x): • Integral of tan^2x
    _____________________________________________________________________________________
    U-Substitution Integration: • How To Integrate Using...
    Integral of 1/e^x: • Integral of 1/e^x
    Integral of ln(x)/x: • Integral of lnx/x
    Integral of 1/(1+e^x): • Integral of 1/(1+e^x)
    Integral of Tan(x): • Integral of tanx
    Integral of Sec(x): • Integral of sec(x)
    Integral of Sin(x)Cos(x): • Integral of sinx cosx
    Integral of x/sqrt(1-x^2): • Integral of x/sqrt(1-x^2)
    Integral of x/sqrt(x+1): • Integral of x/sqrt(x+1)
    ______________________________________________________________________________________
    Integration By Parts Technique: • Integration By Parts
    Integral of xe^x: • Integral of xe^x
    Integral of e^x Sinx: • Integral of e^x sinx
    Integral of ln(x): • Integral of lnx
    Integral of (lnx)^2: • Integral of (lnx)^2
    Integral of ln(x)/x^2: • Integral of lnx/x^2
    Integral of ArcSin(x): • integral of arcsin(x)
    Integral of e^[sqrt(x)]: • Integral of e^sqrt(x)
    Integral of Sin(lnx): • Integral of Sin(lnx)
    Integral of Sec^3(x): • Integral of sec^3x
    _____________________________________________________________________________________
    Trigonometric Integrals: • Trigonometric Integrals
    Integral of Sin^3(x): • Integral of sin^3x
    Integral of Sin^5(x): • Integral of sin^5(x)
    Integral of Tan^3(x): • Integral of tan^3(x)
    Integral of Tan^4(x): • Integral of tan^4x
    Integral of Tan^5(x): • Integral of tan^5(x)
    Integral of Cos^3(x): • Integral of cos^3x
    _____________________________________________________________________________________
    Trigonometric Substitution: • Trigonometric Substitu...
    Integral of 1/(1+x^2): • Integral of 1/(1+x^2)
    Integral of x^2/(x^2 + 1): • Integral of x^2/(x^2+1)
    Integral of 1/sqrt(1-x^2): • Integral of 1/sqrt(1-x^2)

Комментарии • 34

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  7 месяцев назад

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections

  • @vincentzacharias8386
    @vincentzacharias8386 6 месяцев назад +7

    This guy has the exact videos that I need

  • @gyaryson712
    @gyaryson712 4 года назад +7

    Sir plz tell me how to integrate xcos*3x using integration by parts

    • @saujanyapoudel8910
      @saujanyapoudel8910 8 месяцев назад +1

      I have a good news for you! There's this method which helps you do integration by parts in just minutes. It's too long to describe here but it is taught in detail in the 'Black pen red pen' RUclips channel

    • @saujanyapoudel8910
      @saujanyapoudel8910 8 месяцев назад +1

      By the way the answer to the integral is (x*sin3x)/3+(cos3x)/9

    • @cameronskellams5670
      @cameronskellams5670 7 месяцев назад

      ​@@saujanyapoudel8910bro forgot the +c RIP

    • @jaskiraatshah9445
      @jaskiraatshah9445 7 месяцев назад +1

      Bprp is the goat of all🎉🎉🎉🎉🎉

  • @junaidmughal3806
    @junaidmughal3806 6 лет назад +3

    love ur videos bro

  • @alparslankursatkunden3860
    @alparslankursatkunden3860 3 года назад +3

    appreciate it bro

  • @kurdistanhomeschool4471
    @kurdistanhomeschool4471 5 лет назад

    nice thanks for your nice videos

  • @haithemali4769
    @haithemali4769 4 года назад +1

    Where did dx gone after adding du?

    • @StevesUniverse
      @StevesUniverse 3 года назад +6

      it vanished just like my motivation when the teacher started the topic
      .
      yall hear sum?
      nah must be the wind

  • @Yeahhhhhhhhhhhhhhhhhhh
    @Yeahhhhhhhhhhhhhhhhhhh 6 лет назад +1

    Great!!

  • @Sk-we3it
    @Sk-we3it 5 месяцев назад

    Thank bro i' m from sri lanka

  • @dries9611
    @dries9611 3 года назад +6

    Why don't we use the power reduction formula for cos^3(x) = 1/4*(3cos(x)+cos(3x)) ? Because if i do, i got a different answer.

    • @sherlynrheajavien8395
      @sherlynrheajavien8395 2 года назад +1

      same, I got also a different answer

    • @AlexandrBorschchev
      @AlexandrBorschchev 2 года назад +3

      because not everybody who watches this memorizes all trig rules.

    • @ultimatekenz
      @ultimatekenz Год назад

      @@AlexandrBorschchev well if you're taking calc its time to learn.

    • @aaykat6078
      @aaykat6078 Год назад +2

      Wdym? You get the same answer

  • @anaguerra7506
    @anaguerra7506 Год назад

    Por sustitución. Por ser una función compuesta

  • @paranoidparadigm886
    @paranoidparadigm886 3 года назад +2

    How did the 1 turned into u instead of x?

    • @madhur2981
      @madhur2981 3 года назад +3

      Because 1 is integrated with respect to du and not dx

    • @sonumaurya4925
      @sonumaurya4925 Год назад +1

      1 with respect to du will be u^0 whose integration will be u

  • @sua559
    @sua559 9 месяцев назад

    Tnx bro ❤

  • @user-gp8fr1nd3w
    @user-gp8fr1nd3w 4 года назад

    I used the half-angle formula but got a different answer. is that fine?

    • @aayush.440
      @aayush.440 3 года назад +2

      Same bro i also 😂

    • @jaskiraatshah9445
      @jaskiraatshah9445 7 месяцев назад

      Yup the the equations are different but answers are same

  • @UttamDubey-y6s
    @UttamDubey-y6s 16 дней назад

    but mere book me answer different hai

  • @rishirajs5711
    @rishirajs5711 2 года назад

    Thank You very much

  • @mahraalnuaimi6497
    @mahraalnuaimi6497 6 лет назад

    Can you make a video for how to integrate xsec^-1x

    • @anmolsharma9445
      @anmolsharma9445 6 лет назад +1

      مهرة خلفان your question is inappropriate, pls send in a proper form

  • @alexchiggs8877
    @alexchiggs8877 6 лет назад

    Nice