What Integration Technique Should I Use? (trig sub, u sub, DI method, partial fractions) calculus 2

If you guys like this video, give it a like and share it with others! Let me know if I should do a part 2 for this? Here's the file: docs.wixstatic.com/ugd/287ba5_f1afe86da0454ef08c92… Here's the playlist to the solutions to everybody https://www.youtube.com/playlist?list=PLj7p5OoL6vGwS5ilte_7fjRB2rQ_yE_Hj integral of ln(x)/x^3, 0:45 integral of sec^4(x), 2:29 integral of (2x+3)/(x^2-5x+4), 3:50 integral of x^2*tan(x^3), 5:50 integral of 1/(1+x^2)^(5/2), 7:17 integral of e^sqrt(x), 8:50 integral of sin^2(x), 10:37 integral of 1/(sqrt(x+1)-sqrt(x)), 11:20 integral of e^x/sec(x), 13:15 integral of 1/(1+cos(x)), 15:09 integral of (x-4)/(x^4-1), 17:44 integral of x^2/sqrt(1-x^2), 19:24

This is probably the most important Calc II video ever produced. It focuses exclusively on strategy, which is the most important element in all of calculus: Learning strategies (creativity), and recognizing when multiple strategies are valid, and why some might be better. Bravo, Steve! It's similar to your D/I "When to stop" video. Ever since I've stumbled on your channel, I've been re-learning calculus just for fun!

What integration technique should I use? Me: Wolfram Alpha

"Take it to the u world" is now my favorite math phrase

This has to be one of your best videos, it really made me stop and think. The ability to stop the video, think the problem through, then resume is far better than classroom teaching of the past.

Integral Calculus can be summed as "What Kind of Magic Spell to Use?" :)

This guy is hilarious. He makes calculus look like primary mathematics. Can't thank him enough 👏👏

his energy is so pure 🥺

For those that want more practice, I have several videos where I solve complicated integrals step-by-step, using all the methods explained here. :) It might help some of you out there!

For the fifth integral there are two u subs which work nicely 1. u=x+sqrt(1+x^2) 2. u=sqrt(1+x^2)/x Integration by parts also works for this integral

Honestly, as fantastic as my TA is, you are amazing. Both of y'all have done an amazing job at explaining and writing out problematic scenarios that give us lower level students the biggest issues. However you present these scenarios in all of your videos so well. Thank you very much. (note: calc2 student)

bro just saved me from calculus. I've always wanted to create a youtube channel teaching cool stuffs instead of hiding them. You are my inspiration

i have been looking for a video like this for ever ! I have not found one video breaking down the strategies you should use, which is the most important and confusing aspect of integration ! TYSM !!

you are literally like my cal 2 professor! and i love it! I watch these video to help in-force what i learned in class.

This is great, my biggest struggle in calculus 2 has been that intuition you're supposed to have about what integration method to use. It does not come naturally to me, same reason the whole "guess and check" process of factoring quadratics was a nightmare way back in elementary school

This was a really cool video. I especially love how you integrated e^sqrt(x)!! Very clever!

amazing video! really useful since I'm learning integrals right now

This is one of the best YouTube video I've seen so far ! Thanks a lot !

This is a fantastic work,I'm pursuing integration and calculus 2 courses so actually your channel becomes my favourite. Wonderful job

just took my calc 2 midterm and definitely did well thanks to your videos. Thanks!!!