Hi, I have the following problem but I do not know what to do...what substitution should I choose? Thanks in advance!

Using a substitution of the form , or otherwise, find polynomial such that .

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- Nov 18th 2010, 02:52 PMjuanma101285Integral by substitution
Hi, I have the following problem but I do not know what to do...what substitution should I choose? Thanks in advance!

Using a substitution of the form , or otherwise, find polynomial such that . - Nov 18th 2010, 03:00 PMTheCoffeeMachine
What does the plus that precedes p(y) indicate? If you want the integral:

Write and let .

You will need to find the integral , for which you should see here. - Nov 18th 2010, 04:12 PMjuanma101285Help, please...
Hi,

I am not sure...I guess it means that it is positive? It does not say anything else.

I have done it but I have got the wrong result, I think.

I got

I used a different substitution though, , with .

A summary of my calculations is here:

Substituting back to y:

(using the fact that - Nov 18th 2010, 04:24 PMProve It
- Nov 18th 2010, 04:42 PMjuanma101285
Thanks! :)