Integrals Example: Trigonometric Substitution: Integral from Catenary Proof

3

  • 24
  • 0
  • 0.766
  • Reply

  • Download Open in the desktop app ADD TO PLAYLIST

    mes

    Published on Feb 28, 2021
    About :

    In this video I go over an example on using trigonometric substitution to evaluate integrals. This example is the same one in my earlier catenary proof video, but which I used an online integral calculator to save time in the derivation. The integral is of the function 1/sqrt(p2 + 1) and I show how it is pretty straight forward to apply the trig substitution p = tan(u) because then we can use trigonometry identities to remove the square root in the integrand. The solution to the integral involves an absolute value, but I also show how in this particular example I show how the function inside the absolute value is always greater than 0, and thus we can remove the absolute value sign! This is a great example on applying the trigonometric substitution as well as in understanding how absolute value functions can be simplified, so make sure to watch this video!

    Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvtFA2MyUYYYRCZZJQ

    View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-integrals-example-trigonometric-substitution-integral-from-catenary-proof

    Related Videos:

    Hyperbolic Functions: Catenary: Formula and Proof: https://youtu.be/EYb1p9r1fnM
    Trigonometric Substitution for Integrals: http://youtu.be/2pWvGXwtVJo
    Trigonometry: Derivative of sec(x): Proof: http://youtu.be/0sO0TehqMOw
    Improper Integrals: Example 6: sec(x): https://youtu.be/yHnv2w9OVWk
    Trigonometry Identity: tan2(x) + 1 = sec2(x): https://youtu.be/5i3NZ_xip7I .


    SUBSCRIBE via EMAIL: https://mes.fm/subscribe

    DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

    Like, Subscribe, Favorite, and Comment Below!

    Follow us on:

    MES Truth: https://mes.fm/truth
    Official Website: https://MES.fm
    Hive: https://peakd.com/@mes
    Gab: https://gab.ai/matheasysolutions
    Minds: https://minds.com/matheasysolutions
    Twitter: https://twitter.com/MathEasySolns
    Facebook: https://fb.com/MathEasySolutions
    LinkedIn: https://mes.fm/linkedin
    Pinterest: https://pinterest.com/MathEasySolns
    Instagram: https://instagram.com/MathEasySolutions
    Email me: contact@mes.fm

    Free Calculators: https://mes.fm/calculators

    BMI Calculator: https://bmicalculator.mes.fm
    Grade Calculator: https://gradecalculator.mes.fm
    Mortgage Calculator: https://mortgagecalculator.mes.fm
    Percentage Calculator: https://percentagecalculator.mes.fm

    Free Online Tools: https://mes.fm/tools

    iPhone and Android Apps: https://mes.fm/mobile-apps

    Tags :

    mathematics calculus science messcience stemgeeks

    Woo! This creator can upvote comments using 3speak's stake today because they are a top performing creator! Leave a quality comment relating to their content and you could receive an upvote worth at least a dollar.

    Their limit for today is $0!
    Comments:
    Time until mes can give away $0 to their commenters.
    0 Days 0 Hours 0 Minutes 0 Seconds
    Reply:

    To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

    More Videos

    03:59
    22 views a year ago $
    03:00
    20 views 4 months ago $