Avoid THIS Integral TRAP At All Costs!

Hey Ninjas! Did you get stuck on this integral with integration by parts? In this video, we'll solve this Calc 2 integral together and uncover how you can polynomial long division for a crucial step in the integration by parts process. This is often a case where a big mistake students make is when they feel like they are going in circles, they give up or try another method when they were right in the first place! Be sure to subscribe if you found my content useful so you don't miss out on other ninja tricks so that you can CRUSH your calc ab exam!

0:00 - Introduction
0:20 - u and v Selection
1:02 - Integration By Parts
1:43 - Getting Stuck
2:20 - Polynomial Long Division
4:10 - Rewriting The Integral
4:38 - Final Solution

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📚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:

Here’s a great study guide so you can CRUSH your AP exam, like a ninja!

This graphing calculator is a beast and never failed me in college:

I loved THIS ruler in college, for engineering classes:

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[NumberNinjaDave]

Merry Christmas, happy holidays, and may God bless you, ninjas! This is my first bonus video to you! In addition to my usual Saturday videos, this is the first video to come where I now will ADDITIONALLY post on Wednesdays as well! I'm not sure how long I'll continue doing the Wednesday videos as I have to see how it plays out but hopefully you find more value with two videos a week, versus one!

Make sure to SUBSCRIBE HERE so you don’t miss my tips and tricks for your next exam!

🛍 Want some 🥷🏿 swag? Shop my goodies HERE!


📚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:

Here’s a great study guide so you can CRUSH your AP exam, like a ninja!

This graphing calculator is a beast and never failed me in college:

I loved THIS ruler in college, for engineering classes:

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:
Note that I do make a small commission if you sign up through that link.

[woodle]

Nice integral, I enjoyed it. I like trig sub a little more though, so that was my method.

[SergioS-jihv]

could we perhaps use residue theorem here? Had it been a definite integral i mean.

[anuragarya]

Can’t we just add and subtract one in the numerator

∫x^2/(1+x^2 )dx

∫(1+x^2-1)/(1+x^2 ) ⅆx

∫(1+x^2)/(1+x^2 )ⅆx - ∫ⅆx/(1+x^2 )

∫ⅆx - ∫ⅆx/(1+x^2 )

x - arctan(x) +c

[holyshit]

Yes if you avoid integrating by parts with all costs you have a problem

[NINOGIANLUCA]

Con l'integrazione per parti è banale