I “Solved” This Impossible Integral! 🧠 скачать в хорошем качестве

I “Solved” This Impossible Integral! 🧠

The integral of e^x^2 has no known elementary function solution, but in this calculus II video, we're going to challenge what a "solution" really means. While you can't use integration by parts or u substitution on this integral, we're going to get creative. On your calculus BC exam and especially in the real world, sometimes you may have to approximate solutions when no "real" solution exists, and we'll do that here with a Taylor series centered at a=0. Theoretically, any function can be represented by this infinite series and for real world application, that may not be fully applicable at infinity. However, we'll demonstrate how even taking just a few of the series terms can give a real good approximation for the area under the curve! Hope you enjoy! 0:00 - Introduction 0:17 - No "Real" Solution 1:42 - Taylor Series Approximation 3:10 - Finding Coefficients (e^y) 4:29 - Finding Coefficients (e^x^2) 5:05 - Real World Application 🛍️ Want some 🥷🏿 swag? Shop my goodies HERE! https://tinyurl.com/numberninjaswag *********************************************************** 📚Helpful stuff and my favorite MUST haves I used in my college courses ⬇️ Math and school making you anxious? I totally get it and wrote this book for YOU: https://amzn.to/3Y2LWKv Here’s a great study guide so you can CRUSH your AP exam, like a ninja! https://amzn.to/3N5pjPm This graphing calculator is a beast and never failed me in college: https://amzn.to/4eBNeRS I loved THIS ruler in college, for engineering classes: https://amzn.to/4doupRk These are my affiliate links. As an Amazon Associate I earn from qualifying purchases. *************************************************************************************** I use VidIq to help create the best Youtube videos for you! You can sign up here with my affiliate link: https://vidiq.com/numberninjadave Note that I do make a small commission if you sign up through that link.