A wonderfully crazy integral

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[lmaorofl]

The fundemental theorum of engineering hahaha

[TMH]

The small bits of humour between crazy math stuff makes you unique, Deepest respects sir/\

[wowbagger]

Combination of serious maths and entertainment. I love this channel.

[xizarrg]

When the only tool you have is Feynman integration, everything looks like a nail.

[taterpun]

the limit calculated for the infinite product can be turned into the classic lim x->0 sinx/x through change of variable if you don't want to use L'Hopital's rule.

[hydra_brothers_gaming]

bro be wildin fr with the fundamental theorem of engineering and feynnan's ghost.

[trop]

Got tears in my eyes i laughed so hard at fundamental theorem of engineering

[MohamedEmadAbdelkader]

You are a real master. Thank you for the great explanation

[elibrahimi]

you tried that hard to get the video to 8 minutes, mad respect

[leroyzack]

I really enjoyed the last minute joke it was ridiculously awesome 🤣

[oliverhb]

Gotta love the fundamental theorem of engineering

[prabhubharathan]

Fundamental theorem of engineering and the ghost of Feynman are haunting to hear in the middle of the day with broad sunlight. Sends a chill through the spine of calculus. Perhaps you could have taken the integral of sin(x) using an infinite series and then gone in for telescopic cancellations to get to the answer through a circuitous route covering all the scenery in abstract math!

[manstuckinabox]

Hey the product inside the integrand reminds me of a sequence problem I did a while back:

given u_o = a and v_o =b; 0<a<b; un+1 = AM{un, vn} and vn+1 = GM{u_n+1, vn} find common limit between un and vn

vn is actually of the form b*Product{1--> n} of cos(alfa/2^n) where alfa = arcsin(a/b).
which converges to bsin(alfa)/alfa.

5:55 ah shoot, who would've guessed... and in my least favorite method LOL. (Hopital)

6:18 We could also solve this integral by turning it into an infinite sum and solving the sum using Fourier analysis. or we could solve it using the 11th Grader's dilemma, and it is by plugging it in wolfram alpha.

[josephlorizzo]

the last parts were so funny and unexpected, ahahahahah

[jieyuenlee]

4:36 multiply x on the numerator and denominator and factor out the x from the denominator because limit x to 0 x/sinx=1

[MrWael]

Very good analysis and smart solution plan. Thanks.

[sadi_supercell]

You made me laugh so much with this one 😂😂😂

[holyshit]

If we put x=pi/2 and take the limit as N goes to infinity we will get Vieta product

[aperson]

7:27 Clearly someone’s forgotten about infinite series expansions

[shardulkakade]

Now we need a video on the Fundamental Theorem of

Just make sure to *not* add a warning to lure those mathematicians and make them repent for their sins.... 😂😂