Using Feynman's technique TWICE! (the integral of sin^3(x)/x^3 from 0 to inf)
313K views · Jan 12, 2023 · Education
Comments · 258
@blackpenredpen · 3 years ago · pinned
This is from the 100 integrals part 2. See the full video here <a href="https://www.youtube.com/watch?v=jQz1gQ24OHc">https://youtu.be/jQz1gQ24OHc</a>
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@Matematicand01 · 1 year ago
Differentiating: use chain rule, power rule, quotient rule, product rule, etc.<br>Integrating: hope for the best
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@lordofhunger5175 · 3 years ago
We need a tutorial about where to use each pen
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@weinihao3632 · 3 years ago
This kind of video, where you show your thought process and consider which route to go and even hit a dead end is very very nice as it teaches how to tackle the problem instead of simply presenting a deus ex machina solution.
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@ericknutson8310 · 1 year ago
<a href="https://www.youtube.com/watch?v=weZLETAIDEk&t=622">10:22</a> i believe you miss the 3tx in the argument of the right most sin integrand. however a similar substitution of w = 3tx for the right integrand at this step gives the exact same conclusions.
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@LuigiElettrico · 3 years ago
Looking at the clock and hearing it being synchronized with my own wall clock makes me feel like I am in the class :D Great integral!
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@drpeyam · 3 years ago
Reminds me of the Borwein integrals a bit
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@yutaj5296 · 3 years ago
Expressing sin³(𝑥) in terms of sin(3𝑥) and sin(𝑥) using the triple angle formula in the first place seems helps.
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@vogelvogeltje · 3 years ago
You have 60hz hum coming from your microphone JSYK. Try to turn your microphone up more without clipping over 0dbFS, or look and see if any wires are crossing over a power wire from your interface.
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@h10r60v · 2 years ago
<a href="https://www.youtube.com/watch?v=weZLETAIDEk&t=870">14:30</a> man i know that happiness and you have to experience it atleast once in a lifetime!
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@vatsalmalav440 · 3 years ago
I like how you say "this guy" making numbers look like living things that make your life easier and many times Hard. This is a great integral you solved I loved it.
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@AnimeshJha-l6v2z · 10 months ago
You could simply use triple angle formula in the start, and then differentiate twice to get I"(t) = 3π/4 now you know it's super easy this way.
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