How do i solve this with trapezoid rule?

May 2010
2
0
Q: [FONT=&quot]Evaluate
[/FONT][FONT=&quot] using Trapezoidal rule with h = 0.2. Hence determine the value of π.





I missed quite a few classes due to sickness when they explained this stuff, and now with the report submission deadline rushing in, I really need this solved.


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Dec 2009
1,506
434
Russia
Hello!

Use this "formula":

\(\displaystyle \int\limits_a^b \approx \frac{b-a}{n}[\frac{f(x_0)+f(x_n)}{2}+f(x_1)+f(x_2)+\dots+f(x_{n-1})]\)

Your \(\displaystyle h\) is \(\displaystyle \frac{b-a}{n}\).

This can be easily proved if you take your section \(\displaystyle /[a,b]\) and dividing him to \(\displaystyle n\) equal parts, and then taking the trapezes to evaluate the integral.
 
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May 2010
2
0
Thanks, but how do I find the value of PI? Where does the PI come from in this equation?