Integration of Rational Functions By Completing The Square - Calculus

Integration of Rational Functions By Completing The Square - Calculus

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This calculus 2 video tutorial explains how to integrate rational functions by completing the square and using inverse trigonometric functions. Organic Chemistry Tutor - Playlists: https://www.video-tutor.net/ Subscribe To My YouTube Channel: https://bit.ly/37WGgXl E-Book & E-mail Newsletter: https://www.video-tutor.net/math-and-science-ebook.html Calculus Tutors: https://bit.ly/3PRCtSh Useful Textbooks: https://www.amazon.com/shop/theorganicchemistrytutor Access Premium Videos: https://www.patreon.com/MathScienceTutor Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig Calculus 1 - Integration: https://www.youtube.com/watch?v=6WUjbJEeJwM Indefinite Integrals: https://www.youtube.com/watch?v=JTFMeSCxgcA Definite Integrals: https://www.youtube.com/watch?v=Gc3QvUB0PkI Properties of Definite Integrals: https://www.youtube.com/watch?v=QcHz3h81U-s Definite Integrals With Geometry: https://www.youtube.com/watch?v=ghxEOz9rmwE U-Substitution: https://www.youtube.com/watch?v=sdYdnpYn-1o Integration By Parts: https://www.youtube.com/watch?v=sWSLLO3DS1I Indefinite Integral - f(x)h(x)g(x): https://www.youtube.com/watch?v=63qB8ViBhrw Integration By Parts - Tabular Method: https://www.youtube.com/watch?v=Yyic5aaXGaw Integration By Parts - 3 Product Terms: https://www.youtube.com/watch?v=yJF3kv8UzGo Trigonometric Integrals: https://www.youtube.com/watch?v=3pXALn2ovIE Trigonometric Substitution: https://www.youtube.com/watch?v=ocgjfF2AboA Integration By Partial Fractions: https://www.youtube.com/watch?v=6rXByMcuAyI Improper Integrals: https://www.youtube.com/watch?v=ND9cEdfCFr0 Integration - Inverse Trig Functions: https://www.youtube.com/watch?v=AE-0gXXx_j0 Integration of 1/(fx) into Logarithms: https://www.youtube.com/watch?v=4yJmhZBB40w Integration of Logarithmic Functions: https://www.youtube.com/watch?v=nrt37LoaSxM Integrating Exponential Functions: https://www.youtube.com/watch?v=D9dqdbCgJQM Integration Formulas - Trig Substitution: https://www.youtube.com/watch?v=_KJqeJDb8-I Integration By Tables: https://www.youtube.com/watch?v=p7KwXMyJK9s Reduction Formulas For Integration: https://www.youtube.com/watch?v=LBZcfl97LwY Integration - Completing The Square: https://www.youtube.com/watch?v=vQerALNpNfo GPA Calculator: https://www.youtube.com/watch?v=qYHsThZWydY Student Loans: https://www.youtube.com/watch?v=_KRBqpnR0xs Save Money In College: https://www.youtube.com/watch?v=yNO02qfMSwI SAT Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY ACT Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM Resource Links: ---------------------------------------------------------------------------------------------------------------------------------- Calculus Help: https://www.fiverr.com/ Useful Calculus Notes: https://www.etsy.com/ Online Courses: https://www.udemy.com/ Buy Now, Pay Later: https://www.affirm.com/ Affordable Furniture: https://www.wayfair.com/ Car Insurance Student Discount: https://on.gei.co/3rlkHgz Affiliate Marketing Disclaimer: Some of the links associated with this video may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.

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@TheOrganicChemistryTutor Says:
Integration - Free Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html Full-Length Exam Videos: https://www.patreon.com/MathScienceTutor Calculus Video Playlists: https://www.video-tutor.net/
@KwaneleMdlalose-p6s Says:
the second example 😭😭🙆🙆
@shivakumaran-c4u Says:
Bro is my saviour. ❤❤❤
@joshuaejidokun Says:
Cooked Got an exam todayy
@Pablo_paul-IC Says:
Mehn, this one no go commot
@OliyadKebe Says:
😮😮😮
@Themusicpenguin-l6k Says:
For the last type questions you can actually change x+5 into 1/2(2x+8)+1 as it is the derivative of the denominator it can be solved more easily 😊
@DanielMaamahTetteh Says:
This is where I learn things which are not properly understood Thank u
@JdhrjdjJjdjdj Says:
مفيش حد عربي هنا اكيد😂😂😂
@Sayem087 Says:
What if there's no coefficient in the denominator rather some constant? For example, x + 2 / sqrt(x^2 - 1)
@deadmeat_I Says:
shoutout to all the college students in 2037
@gheebuttersnaps-s4e10 Says:
i love this man. thank you king
@keaval_48 Says:
Bakit po wala ikaw miscellaneous integration and integration involving power of cot,tan sec and csc
@Ziad-l7d Says:
Watch out, I think the answer for the last problem should've had an arctan and not an arcsin. I think you confused the (a^2 - u^2) with a (a^2 . u^2) and thus where the different answers come from.
@nyembolwamba8273 Says:
Ohhh my goodness you're so genius
@pe90_82 Says:
I hate when I see 1 over 2 like from where it come 11:17
@nodirbekodilov724 Says:
I am watching it right before the quiz
@ItsJericho Says:
Ayoko na HAHAHAHHAA
@kingjimi6035 Says:
what if the x^2 has a coefficient, what would the factor look like.
@Allstories_45 Says:
THANKS organic maths!!!
@donalddoann Says:
train 11:15
@MoodminTech Says:
Bro explain everything 😅
@AylinLezcano-n1l Says:
For the last problem (in the free versión), i had arcsin((x+4)/4) + C
@RolandThaGreat Says:
Bro my head is paining
@DianaAbaa Says:
God bless you
@RUTAYISIRE_54 Says:
u're God sent fr
@graybedsheet6910 Says:
This was the last lesson of unit 6 for me in ap calc ab, thanks to this video it was basically a victory lap for the unit
@ruislover Says:
i lovew youy thank you for helping me on a problem I spent an hour on
@Silence22-28 Says:
Maaaaaannn I'm done for☹️
@liam.brown05 Says:
my goat 🙏
@ethant1065 Says:
the goat frfr
@spaceoid Says:
you are so awesome sauce
@SunScroll999 Says:
12thies 🖐
@Prathamesheditzz_com Says:
Can't you solve the first 2 problems using partial fraction integration?
@Christopher-e7o Says:
X,2x+5=8
@AliHassan-hb1bn Says:
College Algerbra
@tyealcorn4968 Says:
I’m here cause I got a quiz on this tomorrow, hoping for the best! Our professor said it’ll be on this so 🤞
@jamessolinn Says:
Completing the square can be a real lifesaver when integrating rational functions! I remember struggling with these types of problems, but once I grasped this method, it became so much easier. If you're working through these types of problems, SolutionInn has resources that can help guide you through the process step-by-step, making sure you get the concepts right.
@lisaprince1313 Says:
residue theorem
@Mistiigolden Says:
I love you
@livingwaterspraiseteamlwpt9569 Says:
Sir, why didn't you replace two in the a before the n?
@samippokharel572 Says:
Didnt help me
@ShalainMyr Says:
I'm so cooked......
@AbushetTilahun Says:
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@1_in_8billion Says:
*sobs in joy
@LittleElectricChickenHeart Says:
I’m like thank you
@fahad_IRQ Says:
طالب سادس أعدادي 😂
@amaugofaith1044 Says:
Does anyone know how to explain how dz just dissapeared?
@Chief_Procrastinator Says:
He doesn't teach organic chemistry, he teaches survival🫡
@matthewraj7706 Says:
you there just saved me, thank you

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