Integral of sqrt(sin(x)) vs integral of sqrt(sin^-1(x))

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More special integral battles are coming! Stay tuned!

blackpenredpen,
math for fun
  1. blackpenredpen
  2. integral of sqrt(sin(x))
  3. integral of sqrt(sin^-1(x))
  4. non elementary integrals
  5. integrals with special functions
  6. special integral battle
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Комментарии
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I believe this video make many doubts raised about "non-elementary functions", or "special functions" as usually called here in BPRP.

First, function is a relation between sets that associates every element in a set to one element in another set.

Elementary function is a function composed by a FINITE number of operations and/or functions such as exponentials, logs, constants,  trigonometric, etc.

By inference, we may assume the "non-elementary functions", or "special functions", are those with INFINITE components of that kind.

alexdemoura
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Awesome! I would make a post about it but I don't have the community tab yet lol

MuPrimeMath
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I share that man's pain of trying to write on a whiteboard left-handed.

julius
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2 excellent teachers in one video. You're spoiling us. I'm deeply impressed by the clear and instructive presentation of Mu Prime math.

ralfbodemann
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Can you make a video on why we cannot write Roman number for negative numbers and for zero.

raviupadhyay
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Very informative and insightful. Entertaining video. Thank you for covering such relatively uncommon and interesting integrals in general. It is always entertaining to watch your videos.

grumpy
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I was messing around on WolframAlpha and found this interesting integral sin(x)^(3/2). I would really appreciate it if you could do a video on that integral

andrewdotsonexplains
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Sir your way of explanation is very nice

raviupadhyay
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Could you please do a video on Elliptic integrals? Very good video btw!!

arnaudvanuden
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Where can you get the +C shirt, I'd love to buy one!

CrimsonJoker
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Could you guess the mysterious guys from the thumbnail?

blackpenredpen
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SIR THE RESOURCES AND LINKS TO LEARN MATHEMATICS THAT YOU SAID IN YOUR VIDEO WITH fematika ARE STILL NOT UPLOADED IN THE DESCRIPTION OF THE VIDEO, please do upload those links

abhishektyagi
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Love you sir. I am student of 18 years, but I watch your every video. Your video help me to improve my skill in Calculus and also help to I.A. Maron.

mahananda_maiti
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what is the name of the video mu prime of elliptic integral do not
find

antoniomartelio
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muchas gracias, me gusto el video saludos desde Perú :D

rogerramirez
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can you do the graph of the integral of sqrt(sinx)?

Pklrs
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what is the midmost number between 0.5 and 1?
a) arithmetic mean, 0.75
b) geometric mean, 0.707106...
c) harmonic mean, 0.6666...
d) agm, 0.728395...
e) quadratic mean, 0.790569...

DSN.
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I bought ashirt and hoodie from you
Please make more!!!
I got the derivative and integral one.

michaelschneider
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Apologies if this has already been asked, but is pi / 4 + x / 2 preferred over (pi + 2x) / 4, when writing in "simplified" notation? The latter takes less space to write, and arguably "looks" simpler too. Thanks for your guest solve this BPRP video!

AlBoulley
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Glad to see this kind of integral battles with Mu Prime! It's gonna be exciting! Go subscribe Mu Prime!

VibingMath