Solve Impossible Integral: Integration by Parts?

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Homework Help Overview

The discussion revolves around evaluating a specific integral involving the exponential function and the arctangent function, specifically from -1 to 1/sqrt(3) of e^(arctan y) over (1+y^2). Participants are exploring methods for solving this integral.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential use of integration by parts and substitution methods, particularly suggesting a substitution involving arctan y. There are questions about the clarity of the integral's expression and the appropriateness of the proposed methods.

Discussion Status

The conversation is ongoing, with some participants confirming the use of substitution as a viable approach. There is a mix of interpretations regarding the integral's formulation and the methods to apply, but no explicit consensus has been reached.

Contextual Notes

One participant notes the importance of clarity in mathematical notation, suggesting that the use of LaTeX could improve communication. There are hints of uncertainty about the integral's expression and the methods discussed.

frasifrasi
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---> how do I solve this integral?

integral from -1 to 1/(sqrt(3)) of e^(arctan y) over (1+y^2)...

Am I supposed to use integration by parts or what?
 
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As a general rule, a good strategy to try is a substitution of the form u = ugliest subpiece. In this case, u = arctan y.
 
i definitely cannot make out what your integral is

you should really learn latek, lol. i learned latek around my 30th posting :p
 
The integral is this: \int_{-1}^{1/\sqrt{3}}\frac{\exp(\arctan y)}{(1+y^2)}dy

frasifrasi; click on the image to see the latex code.
 
so, a simple u sub will work? then I would have to sub back in before evaluating, correct?
 
correct! or you could evaluate during your substitution which changes your intervals, but it's all up to you.
 

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