What Is the Anti-Derivative of 20/(1+x^2)?

  • Context: Undergrad 
  • Thread starter Thread starter calculushelp
  • Start date Start date
  • Tags Tags
    Derivative
Click For Summary
SUMMARY

The anti-derivative of the function 20/(1+x^2) is directly related to the inverse trigonometric functions, specifically arctan. Understanding the derivatives of these functions is crucial for solving such integrals. Familiarity with trigonometric substitution techniques also aids in deriving the solution. Mastery of common derivatives is essential for tackling similar problems effectively.

PREREQUISITES
  • Understanding of inverse trigonometric functions, particularly arctan
  • Knowledge of basic calculus concepts, including derivatives and integrals
  • Familiarity with trigonometric substitution techniques
  • Proficiency in recognizing and applying common derivatives
NEXT STEPS
  • Study the derivatives of inverse trigonometric functions, focusing on arctan
  • Practice trigonometric substitution methods in integral calculus
  • Review common derivatives and their applications in integration
  • Explore advanced integration techniques, including integration by parts and partial fractions
USEFUL FOR

Students and professionals in mathematics, particularly those studying calculus and integral techniques, as well as educators teaching these concepts.

calculushelp
Messages
13
Reaction score
0
anti derive

20/(1+x^(2))
 
Physics news on Phys.org
Do you know the derivatives of the inverse trigonometric functions? If so, do you realize that this is very similar to one of them?
 
i'm sorry.. i dont
 
You really need to be familiar with the common derivatives. You should study them.


That said... if you've learned trigonometric substitution, you should have been able to figure this out without recognizing it.
 

Similar threads

Undergrad How can you prove the integral without knowing the derivative?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Partial derivatives of the function f(x,y)
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad Differentiability of a Multivariable function
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Is the functional derivative a function or a functional
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Finding the derivative of a characteristic function
  • · Replies 5 ·
Replies
5
Views
3K
Graduate How to take the spatial derivative of quaternions
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Second derivative of chained function
  • · Replies 14 ·
Replies
14
Views
2K
High School Derivative of Square Root of x at 0
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Understanding Mixed Partial Derivatives: How Do You Solve Them?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Taking the derivative of a function
  • · Replies 15 ·
Replies
15
Views
3K