Double Integral of yx: Solving with k^2*X^2*a^3/6 - Attempt at Solution

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Homework Help Overview

The discussion revolves around evaluating a double integral involving the expression yx. Participants are examining the correctness of an attempted solution that includes variables in the limits of integration.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Some participants question the validity of including a variable in the limits of integration while also using it in the integrand. Others suggest that the original poster may have made a mistake in their notation or setup.

Discussion Status

Participants are actively discussing the notation and setup of the integral. There is a recognition that the attempted solution may not be correct due to the presence of the variable x in the limits of integration. Some guidance has been offered regarding proper notation and the implications of variable limits.

Contextual Notes

There is a mention of using notation accepted by tools like Wolfram Alpha, indicating a potential constraint in how integrals are presented in the forum. Participants are also exploring the possibility of typos or misunderstandings in the problem statement.

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His x limit of integration includes an x, so I think this is the right answer. I suspect it might be the wrong integral, however. :)
 
Ok, I'll post the steps... BTW Can I just ask how one writes integrals on forums so those so they aren't a terrible pain to read? :)

@hgfalling: Do you think there was a typo in text or did I make a really dumb mistake?

Edit: I've went to wolfram alpha and got the same result. Should I in the future use similar notation to that accepted by wolfram?

http://img717.imageshack.us/img717/7077/integral2.png

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Last edited by a moderator:
@gabbagabbahey: Your signature is most helpfull! :)
 
Hi SimpliciusH! :smile:

have an integral: ∫ and try using the X2 tag just above the Reply box :wink:)

You may have fooled Wolfram, but you can't fool us o:) …

you can't integrate over a variable and then put the variable back in as a limit of integration …

∫0kx f(x) dx doesn't make sense.
 
Are you sure the integral isn't [tex]\int_0^a\int_0^{kx}xy^2dydx[/tex]? As tinytim said, it is very bad notation to have an integral over [itex]x[/itex] and have [itex]x[/itex] in your integration limits.
 

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