Another approach for measuring area of irregular shapes is the Simpson 's Rule. This also uses equal intervals. Unlike drawing trapeziums, arcs of parabola are drawn somewhat getting closer to the real area. The formula is
A = h/3 {yo + 4y1 + 2y2 +4y3 + ....+ 2yn-2 + 4yn-1 + yn)
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wat is h?
ReplyDeleteh is the height
ReplyDeletein general the simpson's rule states:
ReplyDeleteApprox. area = (1/3)*(width of strip)[(sum of first and last ordinate) + 4*(sum of even ordinates) + 2 * (sum of remaining odd ordinates)]
The Simpson rule states that:
ReplyDeleteArea= (1/3)*(width of the strip)*(sum of the two end ordinates)+4*(Total even numbers)+2(sum of the remaining ordinates)
The simpson's rule is a method of integration numerically.
ReplyDeleteSimpson's Rule states that
ReplyDeleteArea = 1/3d [( ) + 4( ) + 2( )]
SImpson's rule states that the area of an irregular shape like an island example trinidad can be found such that : A = 1/3 [first and last ordinates] + 4 [sum of even ordinate] + 2 [sum of the odd ordinates]
ReplyDeleteSimpson's Rule
ReplyDeleteSimpson's rule approximates a definite integral over an interval by partitioning the interval into an even number of subintervals, approximating the given function on consecutive pairs of intervals by quadratic functions, and then computing the integral corresponding to the quadratic functions.
so this one is more accurate that the Trapezoidal Rule?
ReplyDeletesimpson"s rule is a method of numerical integration, the numerical approximation of definite integrals.
ReplyDelete