Integration in PYTHON (Symbolic AND Numeric)

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In this video I show how to evaluate integrals symbolically and numerically in python. The main packages used here are sympy for symbolic evaluation and scipy for numeric evaluation.

Code:

Discord:

0:00 Intro
1:18 Symbolic Integration
6:30 Numerical Integration (Functions)
11:14 Numerical Integration (Data)

[hsh]

You’re the real MVP!!!
Thank you for making those videos!!
Can’t wait to see some mechanics focused videos!!
Best of luck!

[AJ-etvf]

Awesome! I learned something new that integrating a dataset using the cumulative_trapezoid function removes the noise and actually produces a smooth curve! Very nice ❤️❤️❤️

[joshyycute]

I came back here to comment again. i rarely do this but this is sooo helpful to me as a math major. THANK YOU MAN!

[richardbennett]

I love watching your tutorials.

Now, two years later and python3.11 and whatever is the newest version of sympy, one can get a solution involving the gamma function for the first example of an "unsolvable" integral at 6:49. I'm getting a solution.

[calebwhales]

Jeez, the algorithm is getting good. I needed this today for a real world data set. I think I arrived at an OK answer but in an incredibly roundabout way. Integration of real world time series data is so useful in my line of work. Thank you so much.

[AlanMustafa]

All I can say is: "WOW, just wow!" This Is Truly An Informative Teaching Session. Thank you for sharing your experience. 🙏

[HardwareHari]

Awesome content dude, hope your channel subscribers boom!!! Thank god i found this channel!
All the best!

[iibuprofene]

Are you going for the streamer/gamer video stile? I like that :)
The camera looks good, allow me to suggest you to get a condenser microphone if you crave that clean and deep studio voice and it would probably remove a little bit of keyboard noise too.
The sound is almost always more important than the video, especially for headphones users and especially if you talk a lot in your videos, wich you do. I would remove that thick black outline in the camera overlay, i think it would look sharper and more modern, and i would also reframe it in a 16:9 ratio in but that's my personal taste. As for the location of the overlay on the screen, try to see which one works best for your type of videos. I've been watching your videos all week, you are a talent, i've never coded in my life but i'm installing jupyter right now, have a good day :)

[louism.]

Thank you so much! I did Physics at University quite a few years ago now so things brings back some fond memories! :)

[vineetwilson]

You have literally saved my life, my guy! I needed to integrate the flux values for my target star, but I didn't know how... Thanks a lot!

[surojitbiswas]

Thank you brother, I was working on problem regoriously last 5 days continuously . I was stuck . I just needed one command which i understand from you video. Thamnks a lot, man.

[wilhelm]

cool stuff, just watched the whole vid, I do more machine learning with python but integrals are always important. Thanks!

[nachnutzer]

Honestly, I'm sooo grateful for those videos! Thanks a million!

[.millionvolts]

Nice one dude, i'm probably not gonna understand any of this since i'm still learning. but it's sounds very awesome and interesting!!

[davidam]

OMG, you are so underrated! These videos are amazing. You have just earned one new subscriber.

[Analytix_AI]

Today i understood the real taste of integration and, for removing integration fear thanks sir😊

[kevinfittschen]

Your content is the best from youtube congrats 🎉 and thank you

[sb]

Very nice presentation and thank you so much. This is the best way to teach programming i think.

One should not just spell out the correct syntax. The learner needs to understand the errors as well.

Surely with chatGPT, now it is easier to identify the errors.

Still this was helpful.

[TheBackboneOfNight]

Fantastic videos! Don't ever stop doing them!! Very underrated, but already most of my group know of you :) Hope more join!

[narayanrai]

Thanks for you video. My problem is solved right after I watched this video