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Hi! In an assignment I have reached an integral that has the form:

[itex]\int\frac{A+Bx+Cx^2}{Dx+Ex^2}[/itex]

where A-E are constants, the integration variable is x and the limits are 0 to 1. I'm supposed to remove the singularity at x=0 by substitution.

A-E have values but they're long and complicated and I hope they're not necessary to solve the problem. And sadly, no - I can't go backwards to complete squares or anything...

The attempt at a solution

This might be an easy question, but I really don't know what to substitute x for. I've tried squares, roots, inverted squares and roots, ln and exponential functions... but they all end up with the same singularity at 0. I don't know how to get around this. Is there any good way to figure out how to substitute in order to "remove" a singularity, in general?

Help and hints would be very much appreciated! Thank you!

/Jennifer

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# Homework Help: Integral variable substitution for removing singularity

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