how find integration area under the curve ?
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i have a problem like this
the problem is how to find integration area under the function f(x), i had tried it with the simpson rule with applied the interpolation lagrange 3rd orde, but i could not found the integration formula in below picture
is my method true or not ? can anybody tell me about this ? thanks
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Answers (1)
Wayne King
on 6 Dec 2013
Edited: Wayne King
on 6 Dec 2013
I'm assuming that b=x_0 and a=x_3 -- is that correct? If that is correct, it looks like your expression above significantly overestimates the value of the definite integral of a function over the interval [a,b].
Compare the above to Simpson's rule
\dfrac{b-a}{6} \{ f(a)+ 4f(\tfrac{a+b}{2})+ f(b) \}
And I'm not sure what this question has to do with MATLAB. Have you coded your rule and tried it as an approximation to several integrals to see whether it is systematically overestimating the true value?
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