Відео

yes yes yes

🥰🥰

😍😍

u are super genius terry 😍😍

Amazing !

Minor correction "anything to the power 0" is not 1. not if the anything is 0.

Hi sir, which software do you use to record your videos?

i love you

this is great stuff! i hope you can derive the physics of a pendulum without the typical derivation of sin theta ~ theta. in other words, the bessel functions of the first and second kinds and how to derive the constants

Just substitute x^2=t. Differentiate and rearrange to get a form of Gamma function. Evaluate it by standard values. Simple.

Good stuff

thank you for the video! keep up the good work :)

This is the best. It is so clear because no step is skipped nor glossed over compared to other derivations.

but my book formula is Change of U= Q-W

Thank you so much!!

00:50 brilliant video however one thing I do not understand is why you are evaluating sin(theta) and cos(theta) at pi/2 ? because isn't the integral going to infinity? thanks. otherwise great video keep it up

cosx is d(sinx)/dx so (sinx)^2/2+C

You helped me in thermodynamics and now in the Integrals I'm encountering in quantum mechanics. Thank you so much for this detailed version....loved the volume under integral explanation

Just to let you know, trig sub is normally a term used when changing from cartesian to polar coordinates, or when you substitute u to be a trigonometric function. It can be used for example in integrals like sqrt(1-x^2), where you take sin(t)=x, so t=arcsin(x) and get an easier integral to solve because sqrt(1-x^2) is now cos(t). And we get in this case the integral of cos(t)^2. What you did is just usage of the sum of angles formula for sin, and simple substitution when taking u=2x

It can also be solved by substitution method ie: let u=sinx Then du=cosx dx Then our original integral becomes integral of u du Then using the power rule the answer is : u^2/2 and we just substituted u= sinx so it is 1/2*(sin^2 x) + c.

I be stuck in this one rn, where did the term at the left side of the equal sign came from (this: ∫e^2xsinxdx), i'm lost 😭

Been struggling with this. It was my good fortune to find your video. Much clearer presentation than most over lectures I have seen, and some of those were quite good. Kudos. Immediately subscribed to your channel.

Hope you have a nice life.

the integral that you said you did in your other video at 3:32 is actually root pi/2 not root pi....... this makes the integral in this problem equal to root pi/4 instead of root pi /2 ......

great video, really helped me get this into my head thankss :)

Thank you🎉

liked and subscribed bc this actually made me understand wtf was going on in these problems 😂

Thanks!

thank you! I was working on a similar problem and needed a sanity check. Yours is the only video I found that actually integrates the compressibility.

Thank you you help me solve this problem . Please make more of these videos

this 2 minutes of my life...i was struggling with a problem for phi-3 theory in QFT, struggled for a week and all i needed was the concept of this lecture!!!

Eyyyyyy, I know I am a bit late, but congratulations on finally finding out how to write "sin" and "ln" not in italic. Next step would be to "straighten up" the *d* as well and also distance it a little bit from the integrand. In LaTeX you can do it by defining ewcommand{\dint}[1]{\,\mathrm{d}#1} in the preamble and then simply write "\dint{x}" for the " dx" (including the space produced by "\,").

why is dW negative?

Awesome problem!!!!

Nice one!

Thank you so much! I like how encouraging this video is

wonderful!

bro thank you so fcking much for this video, you have no idea of how this helped me

😅aam i have a doubt if we have to find isothermal irreversible entropy for surrounding but with some pressure

This explanation is very well said in terms of defining why delta S rev can be equal to delta S Irrev Very concept clearing well done

Second time i landed on your channel ,i was integrating sinc function

u = lnx du = 1/xdx xdu = dx int(cos(lnx)/x)dx = int(cos(u)/x * xdu) = int(cos(u)du) = sin(lnx) + C

what software did you use to make this, was it done nearly entirely in editing software or did you use something else?

Thank you It helped a lot

I like the shirt

Anyone else only watching this because they saw this on TikTok?

Ty

Beautiful integral! Good job! 👏👏👏

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