(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The following is a worked example:

[PLAIN]http://img18.imageshack.us/img18/122/57926907.gif [Broken]

[PLAIN]http://img717.imageshack.us/img717/8884/82726904.gif [Broken]

I don't understand why they have got [tex](e^x,p_1)[/tex] equal to [tex]\frac{1}{2}(3-e)[/tex]!!

3. The attempt at a solution

[tex](e^x,p_1)=\int^1_0 e^x(x-\frac{1}{2})dx[/tex]

[tex]=\left[ xe^x-e^x- \frac{e^x}{2}\right]^1_0[/tex]

[tex]=\frac{2.7}{2}-\frac{1}{2}[/tex]

I don't get [tex](e^x,p_1)=\frac{1}{2}(3-e)[/tex].

Is there something wrong with what I'm doing?

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# Homework Help: Best Approximations

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