rock.freak667

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**[SOLVED] Help me with the trapezium rule please**

**1. Homework Statement**

[tex]\int _{0} ^{1} e^{-x} dx[/tex]

By using two trapezia of unequal width, with one width,h, and the other (1-h) show that

[tex]T\approx

\frac{1}{2}(e^{-1}+h(1-e^{-1})+e^{-h}[/tex]

**2. Homework Equations**

**3. The Attempt at a Solution**

So the sum is given by

[tex]\frac{1}{2}(e^h+1)h + \frac{1}{2}(e^{1-h}+e^h)(1-h)[/tex]

[tex]= \frac{1}{2}(h+e^{1-h}+e^h-he^{1-h})[/tex]

and here is where I can't show it.

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