(adsbygoogle = window.adsbygoogle || []).push({}); Explain this a little plz

well i have another problem with finding a(some) functions. The problem is this:

FInd all non-negative continuous functions f:[01]-->R that fullfil the following:

integ from 0 to 1 of f(x)dx =1

integ from 0 to 1 of xf(x)dx=a and

integ from 0 to 1 of x^2 f(x)dx=a^2

where a is an element of the reals.

this problem is in a textbook, and it starts like this

integ from 0 to one of (x-a)^2 f(x) dx, and at the end comes to a contradiction, hence it concludes that such a functions does not exist.

My question is what is really this problem asking?

SO if you could explain a little to me how should i start thinking about this problem? Because i want to fully understand what i am writing, and why am i writing something.

So could anyone please elaborate this problem a little for me???

I really thank all you guys for your time, and for taking the effort on helping us all.

P.S. Btw it is not homework, just a problem i encountered in the textbook.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Explain this a little

**Physics Forums | Science Articles, Homework Help, Discussion**