I Made This Frustrating Integral Easy 🧠

Hey Number Ninjas, are you feeling confused with this integral? I'll provide you a simple and understandable integration trick using trigonometric substitution so that you can crush Calculus 2 problems like these on your next ap calc exam!

We'll uncover why the traditional u substitution by polynomial substitution doesn't work and how we can instead substitute in trig functions instead using trig identities. We'll use a method I like to use by going over it step-by-step as I found that it makes solving these problems a cinch, instead of having to memorize some magic integral formula.

0:00 - Introduction
0:12 - Failed U Substitution
0:32 - Recommended Approach
1:00 - Trig Identity Manipulation
3:41 - Rewriting The Integral
4:25 - Trig Substitution

🛍️ 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.

[NumberNinjaDave]

Did you solve this problem a different way? Let's see what you've got below, Ninjas!

[amitra]

Let x=2Sinz
dx = 2coszdz
Int 2coszdz/ 2cosz
Int dz
z+c
arcsin(x/2)+ c

[NeelamSingh.]

This could be simply solved by using inverse trig identity of arc it basically did not require so much of solving good explanation though.❤