The question is use simpson's rule with five ordinates to find an approximation for(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{0}^{4} cos \left[ e^{\frac{1}{2} x} \right] dx [/tex]

Here are my figures (working in radians)

[tex] y_0 = 0.540302305 [/tex]

[tex] y_1 = -0.077846103 [/tex]

[tex] y_2 = -0.911733914 [/tex]

[tex] y_3 = -0.228658946 [/tex]

[tex] y_4 = 0.448356241 [/tex]

Plugging these into the formula for Simpson's rule gives:

[tex] \int_{0}^{4} cos \left[ e^{\frac{1}{2} x} \right] dx \approx \frac{1}{3} \left[ (0.540302305 + 0.448356241) + 4(-0.077846103 -0.228658946) + 2(0.448356241 -0.911733914) \right] [/tex]

This gives - 0.388....... when the answer in the textbook is -0.6869. I know its alot of number crunching but any help would be appreciated.

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# Homework Help: Simpson's Rule question, which I hate!

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