Lobachevsky Integral is the Best Integral I've Ever Evaluated

[@xinpingdonohoe3978]

In the start, we see we are allowed to use Lobachevsky's rule with sin²(x)/x². As such, when we get the integral from 0 to ∞ of sin²(x)/x² dx, we can use Lobachevsky's rule to say that this is the integral from 0 to π/2 of 1 dx = π/2

[@slavinojunepri7648]

That's exactly right.

[@drpkmath12345]

Thats right my friend haha. Thanks for the comment👍👍👍

[@maxvangulik1988]

to solve int[0,♾️](sin^2(x)/x^2)dx, you can use Lobachevsky again on f(x)=1.
I=int[0,pi/2](1)dx=pi/2

[@drpkmath12345]

Yup thats right! Thanks for the support my friend👍👍👍

[@iqtrainer]

I love when you tackle an integral professor🎉

[@drpkmath12345]

Thanks a lot my friend👍👍👍

[@kehrierg]

It was given that Lob's rule is valid for sin(x) / x * f(x), but not given that it's valid for (sin(x) / x)^2 * f(x). Doesn't this require proof first before using it?

[@domedebali632]

He used Lobachevsky rule, that no proof is required

[@domedebali632]

Never heard of this interesting integral. Cool stuff

[@drpkmath12345]

Thanks a lot my friend for your support👍👍👍

[@mathnerd5647]

Another gorgeous video professor

[@drpkmath12345]

Thank you so much my friend haha👍👍👍

[@MrGLA-zs8xt]

I love this integral so much, and wish people (including me) know this oncept

[@drpkmath12345]

Thanks a lot my friend👍👍👍

[@doctorb9264]

Interesting problem and the answer came out pretty simple.

[@drpkmath12345]

Thank you for the support my friend👍👍👍

[@mrpringles4479]

Can you do like whole sessions of topics you like and then you can take intresting questions just maybe would be easy for high school students like me

[@drpkmath12345]

That sounds like an idea my friend! Thanks for the suggestions always👍👍👍

[@LITHICKROSHANMS-gw2lx]

Good integral sir but do without limits in the integral
It gives robust challenge

[@drpkmath12345]

Thanks a lot for your support my friend! Appreciate your continued support👍👍👍

[@Min-cv7nt]

The best integral for me too

[@drpkmath12345]

Haha thanks a lot my friend for your support👍👍👍

[@experimentingalgorithm1546]

Is this what they call an Undergrad maths?

[@mathnerd5647]

I dont think most of undergrad students are able to solve this, except for some math majors who are really good at calculus

[@alexchan4226]

1（mathematical solution）

[@iqtrainer]

You dont know what math is

[@MrGLA-zs8xt]

That's an alien solution in your alien world

[@bjornfeuerbacher5514]

@alexchan: Show your steps.