Solving an integral

  • Thread starter stlukits
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  • #1
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3
Let q be a continuous function on [0,1] for which

Code:
\int_{0}^{1}q(x)dx=1

How do you solve the integrals

Code:
\int_{0}^{1}xq(x)dx

and

Code:
\int_{0}^{1}x^2q(x)dx

This is a real life (well, game theory) problem.
 

Answers and Replies

  • #2
LCKurtz
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Use tex tags instead of code tags and a \, like this (click on it)

[tex]\int_{0}^{1}x^2q(x)dx[/tex]

The answer is, you don't. Just knowing the area under a curve doesn't determine either its first or second moments. You need more info.
 
  • #3
56
3
That's too bad, but good to know. Thanks.
 

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