I think you forgot the negative sign from the chain rule of differentiating α^-s Edit: Okay this doesn't matter later on because this term cancels out between the sin and cos versions
"Was this necessary? Hell nah, man." Whenever I faced a difficult exam, after I pounded my head several times, the night before the exam, I looked at my roomate, equally flustered, and said: Was this [chasing a degree in math] really necessary? And then, we usually reached the outstanding conclusion, that it's just 1 more evening, and went back to work.🤓🤓 And then the story repeated itself, at each difficult exam.😅
Here's something I really try to see; What if you presented the solution to the differential equation describing the Earth's motion around the sun, and actually derive its orbit. It's such an interesting problem in physics that I haven't seen too many people actually show the solution to, and I think the non linear differential equations would really fit with the rest of your stuff.
If you can write each square root as a linear combination of sqrt(5) and some factor can we write all square roots in terms of phi? Thus proving the irrationality of all square roots since phi is irrational?
That's cuz I couldn't solve it bro 😭😭 but in all seriousness I don't think that integral has a closed form. One application of integration by parts shows that.
@@maths_505 I don't know what is closed form even 😭😭 I should learn more 😭😭 You can solve it bro!💪 You're even solving much harder problems and this looks so simple
The goat is back to goat like things!
9:09 RIP Digamma 😢 At least you were a part of the solution process
The result at the end was cool!
Let's change the minus sign to plus sign to revive Digamma😇
You literally uploaded this as I had finished watching the previous one and was about to fall asleep.
Right on time I guess 😂
How'd you like the last video btw?
@@maths_505 Always happy to see you take on physics problems. Especially those with interesting differential equations.
the intro is getting better and better
I think you forgot the negative sign from the chain rule of differentiating α^-s
Edit: Okay this doesn't matter later on because this term cancels out between the sin and cos versions
Perfect 🦭
"Was this necessary? Hell nah, man."
Whenever I faced a difficult exam, after I pounded my head several times, the night before the exam, I looked at my roomate, equally flustered, and said: Was this [chasing a degree in math] really necessary? And then, we usually reached the outstanding conclusion, that it's just 1 more evening, and went back to work.🤓🤓
And then the story repeated itself, at each difficult exam.😅
😂😂😂
Here's something I really try to see; What if you presented the solution to the differential equation describing the Earth's motion around the sun, and actually derive its orbit. It's such an interesting problem in physics that I haven't seen too many people actually show the solution to, and I think the non linear differential equations would really fit with the rest of your stuff.
That was dope!
Bravo, bravo
It’s definitely a cult
Could you solve this problem: integral of x/lnx
Ei(2*log(x)), which is the exponential integral function.
If you can write each square root as a linear combination of sqrt(5) and some factor can we write all square roots in terms of phi? Thus proving the irrationality of all square roots since phi is irrational?
I don't think so.
do this next plz: int from -infty to infty of cos(t)/(t^2 + 1)^x dt
Some contour integration would work nicely over here.
@@maths_505 you need a generalized residue tho, its a bit tough
goes to a repeated derivaitve, higher order residue
bro im that joel (who was calling you master)
you still didnt answer my qn bro😭😭
int (0 to 1) [ (e^x) / (1+x) ] dx
please help me bro😭
That's cuz I couldn't solve it bro 😭😭 but in all seriousness I don't think that integral has a closed form. One application of integration by parts shows that.
[Ei(2)-Ei(1)]/e
@@maths_505 I don't know what is closed form even 😭😭 I should learn more 😭😭
You can solve it bro!💪
You're even solving much harder problems and this looks so simple
O_o
i think you don’t have any ideas for the title of your vids😂
Cult.