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

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Discussion Overview

The discussion revolves around finding the anti-derivative of the function 20/(1+x^2). Participants explore connections to inverse trigonometric functions and the importance of understanding common derivatives in calculus.

Discussion Character

  • Homework-related
  • Conceptual clarification

Main Points Raised

  • One participant asks for the anti-derivative of 20/(1+x^2).
  • Another participant suggests that the problem is similar to the derivatives of inverse trigonometric functions, implying a potential connection.
  • A participant expresses unfamiliarity with the derivatives of inverse trigonometric functions.
  • A link is provided to a mathematical image that may illustrate the concept further.
  • One participant emphasizes the necessity of being familiar with common derivatives and suggests that knowledge of trigonometric substitution could aid in solving the problem.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the anti-derivative, and multiple viewpoints regarding the approach to the problem are presented.

Contextual Notes

Participants express varying levels of familiarity with relevant calculus concepts, which may affect their ability to engage with the problem effectively.

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anti derive

20/(1+x^(2))
 
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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.
 

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