Calculus 2: Integration - Trig Substitution (6 of 28) Integral of x^3/SQRT(a^2-x^2) Ex.4

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In this video I will solve: integral of {(x^3)/[(a^2-x^2)^(1/2)]}dx.

Next video in the series can be seen at:
  1. Michel van Biezen
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  3. ilectureonline.com
  4. Mike
  5. Mike van Biezen
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Thank you for putting rigorous mathematics at a level where everyone can understand. This is why I nominate you as the best Professor forever. It does not have to be as complicated as some seem to think.

valeriereid
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love these series. when I was back in school I always think substitution was kind of difficulty. now I am so aged. love the substitution.

lmmgt
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me again 🙈🙈🙈🙈 eheheh today I have two questions
I encountered something I'd never though before it may cause a mistake .. generally about integration by substitution .. here if we let cos^2(theta) = U the process seems to be alright but at the end we end up with -0.25cos^4(theta) why it is not possible to consider cos^2(theta) = U

WladyslawAntonsiewicz
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i wish you broke down the steps at 3:15 more slowly

gailgarceau
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On the, in the case of Pro. Biezen extremely unlikely, case of an error, thousands of hours might be saved using the saying, sanitized here: stuff happens. I once spent several days finding out that one the slow way. Just sayin'.

MeistroJB