Forcing the Weierstrass to happen
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- čas přidán 11. 09. 2024
- Weierstrass Substitution
Intro video:
• Introduction to Weiers...
Intro video:
• Introduction to Weiers...
Example problem:
• A fun method for solvi...
Quiz:
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Formulas:
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Derivations:
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practice integrals with King's principle:
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I enjoyed that. I've liked Weierstrasse substitution since I first learned about it.
Hey Mike :) Thanks! Yeah I like doing these. I've probably done too many Weierstrass videos but I like it 🤣 Anyway probably going for something different in the next video.
It's also the same as the integral of
sinx / (1 + cosx)
And you can do that in your head to get
ln( 1 + cos(π/3)) = ln( 3/2)
Still with you almost daily, keep up the great work, you're nailing it! 😊👍
PS - as always, the alternative is just to take up space so the algorithm sees engagement and is not a suggestion for doing it that way. 😉😊
Hey @Ni999! It's been a while and I was wondering if you were still watching :) Glad to hear you are. Thanks as always for the support!
@@owl3math You're welcome!
dude, i was just visualizing the thing and approximated it to be between 0.4 and 0.5 as a wild guess.
what a lucky shot
cool. I think we should approximate integrals more often!
Are you a kind of mutant or what? Or, you possess any supernatural power of foresight? 😅
Why not use the half angle formulas?
1-cos(x) = 2(sin(x/2))^2
sin(x) = 2sin(x/2)cos(x/2)
The integrand becomes tan(x/2).
You can and it's faster that way! I think I said that in the video? Anyway multiple ways will work for this one :) thanks
Yep that's exactly what I did