Is the Integral of 1/(1+x^2) equal to arctan(x)?

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    Integral
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Homework Help Overview

The discussion revolves around the integral of the function 1/(1+x^2) and its relationship to the arctangent function. Participants are exploring the correctness of this relationship within the context of integral calculus.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster questions whether the integral of 1/(1+x^2) is indeed arctan(x), noting a potential confusion with the expression 1/(x^2 + 1). Other participants affirm the relationship but the original poster seeks confirmation.

Discussion Status

The conversation is ongoing, with some participants providing affirmations while the original poster expresses a desire for clarity. There is no explicit consensus, but the discussion is focused on confirming the relationship between the integral and the arctangent function.

Contextual Notes

There appears to be a misunderstanding in the original post regarding the notation, which has been acknowledged by the poster. This may influence the clarity of the discussion.

xangel31x
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i have a question when you take the interal of 1/(1+x^2) is that still arctan(x) because i know it is arctan(x) if it is 1/(x^2 +1) thanks
 
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Yes. Addition is commutative.
 
it was suppose to say integral sorry
 
that is what i thought, but i just wanted to make sure thanks
 

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