Answer:

General Formulas and Concepts:
<u>Algebra I</u>
<u>Calculus</u>
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]:                                                                
Trig Integration:                                                                                                            
Step-by-step explanation:
<u>Step 1: Define</u>
<u /> <u />
<u />
<u />
<u>Step 2: Integrate Pt. 1</u>
- [Integral] Factor fraction denominator:                                                          
- [Integral] Integration Property - Multiplied Constant:                                    
<u>Step 3: Identify Variables</u>
<em>Set up u-substitution for the arctan trig integration.</em>

<u>Step 4: Integrate Pt. 2</u>
- [Integral] Substitute u-du:                                                                                
- [Integral] Trig Integration:                                                                               ![\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B9%7D%5B%5Cfrac%7B1%7D%7B%5Cfrac%7B2%7D%7B3%7D%7Darctan%28%5Cfrac%7Bu%7D%7B%5Cfrac%7B2%7D%7B3%7D%7D%29%5D%20%2B%20C) 
- [Integral] Simplify:                                                                                           ![\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B9%7D%5B%5Cfrac%7B3%7D%7B2%7Darctan%28%5Cfrac%7B3u%7D%7B2%7D%29%5D%20%2B%20C) 
- [integral] Multiply:                                                                                            
- [Integral] Back-Substitute:                                                                              
Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
 
        
             
        
        
        
Answer:
2
Step-by-step explanation:
 
        
             
        
        
        
20 tulips. 2/3=20/30 when you multiply both the denominator and numerator by 10.
 
        
             
        
        
        
Answer:
f(-10) = 1,100
Step-by-step explanation:
f(-10) = (-10)^2 - (-10)^3
= 100 - (-1000)
= 1,100