Numerical Integration with Variable Limits in Python

Today we go over how to numerically integrate a function f(x,y,z;a) using Scipy, where x, y and z are variables to be integrated over, and a is parameter. We do this for 2 cases:
1) when the limits of integration are constant
2) when the limits are functions of x, and y, themselves.

[xsetklickc]

this man is so unpredictable, been watching this guy since my sophomore year in high school now im a freshman in college. Swear I binge every 6 months LOL

[jhawar-ji]

Andrew putting up a video after so long and still have guts to start the video with a promotional message.

[anindyaguria]

I watched your old tensor videos when I took GR last semester😊. I was thinking of the old days when I was in high school and would watch all your videos and pretend to understand everything 😂. We all have come such a long way mann! I miss those times a lot! So glad you are posting videos again... All the best for your PhD ❤

[LavenderTown]

WE ARE SO BACK. Hey man, the timing of this was awesome. My hero of academia was a exp amo physicist. Damn near 30 years of teaching. Taught modern/lasers/qm.

Passing through my school on my way back to get my guns for a Precision Rifle course. Also passed through LC on my way from San Diego to Missouri. Thought of you.

If you ever want to get after it and shoot, im down brother!

Probably going to Gunsmiff School at Colorado School of Trades and getting my private pilot cert. I love physics and was planning to do an amo grad degree but life happened.

Ill always have my old profs, my textbooks, my sps FAMILY, and my favorite tensor boi.

Much love.

[RCSmiths]

Firmly appreciate this. Always great to see you shed some light on valuable information.

[atomgutan]

You are a vampire, not using dark mode.
Everytime I see light mode I hear the CS:GO "Deploying a flashbang!" in my head.

[itstomis]

Confession: in university any time our profs allowed us to do numerical integrations to arrive at final solutions for homework problems, I just plugged them into Wolfram Alpha. Then I drew an arrow from the integral to the result and wrote "MATLAB" beside the arrow.

[notdru]

Im very happy your back man i watched your last video as a senior in highschool now im a freshman physics major starting my first class on monday!

[SerHergen]

It is crazy to think I started watching you as a Freshman and now I'm an employeed optical engineer (i went to the dark side because of money).

[ozymandias]

Andrew, we need more videos. I started watching your videos when I was doing my bachelors. And now I am 1st year PhD in particle physics. Your videos inspire me)

[yastronaut]

I've been watching your channel for years, and in a few days I start with my first year of university physics ( and astrophysics ), i'm rlly thankful for your videos along the years motivating me to pursue this path :)

[kaidenschmidt]

Always a pleasure to see you've uploaded, Andrew. I'm always impressed by the community you've got here too

[Harmonicaoscillator]

I haven’t watched much YouTube lately because I’ve been busy with research and friends this summer but I finally do and you’re advertising a standing desk which I was just talking to my girl about getting. Crazy

[ytpanda]

Hey Andrew, obligatory comment about how I loved your videos in school and now love them even more that I'm studying for my master's in physics. I'll do my best to try and understand whatever you publish in your grad position lol. Hope you're having a good day

[mathemmanuel]

Finally after 4 months he's back 🔥
Love ur vids

[Rosalies_]

I was just watching your Monte Carlo integration basics! Incredible timing as always. Wb :)

Edit: I work IT at a Uni now, and am contemplating enrolling in their MS Applied Physics program.

[andrewtran]

Haven't seen a Python video in so long!

[maureendotson]

#5! Closest I’ve been in a long time. Hehe 🙃

[g.o.sstudyofouruniverse.]

Hey I glad you finally posted a new vedio i was waiting for it so long PISsss upload vedio's more and soon don't delay this much

[K_ej]

Glad to see you uploading again man. This is Brandon, I got your message and responded to you through your gmail around a month ago or so. 👍🏻 hope all is well!