Integral (arcsin x)^{2}=uv-\int vdu

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    Integral
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Homework Help Overview

The discussion revolves around the integration of the function \((\arcsin x)^{2}\) using integration by parts. Participants explore various approaches to tackle the integral, including substitutions and the application of integration techniques.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants attempt to set up the integral using integration by parts, with varying choices for \(u\) and \(dv\). There are discussions about the need for multiple rounds of integration by parts and the challenges faced in managing the resulting expressions. Some participants question the effectiveness of their chosen methods and consider alternative substitutions.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and questioning each other's reasoning. Some guidance has been offered regarding the use of substitutions and integration techniques, but there is no consensus on a single approach. Participants express frustration with the complexity of the problem while also acknowledging progress in understanding the integration process.

Contextual Notes

There are indications of confusion regarding the notation and methods discussed, particularly concerning the use of derivatives in the context of integration. Participants also reflect on the practicality of the methods for exam situations, highlighting the potential for alternative strategies.

  • #31
iRaid said:
I see it, thanks. But I would probably never think of that lol.

Well, I didn't either. Don't feel bad.
 
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  • #32
Dick said:
Well, I didn't either. Don't feel bad.

:) Thanks for the help, I appreciate it.
 

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