I need to calculate each slice differently if its height was above or below 25.

Question

I need to calculate each slice differently if its height was above or below 25. for example, in slice 3 there will be two different areas area above 25 and area under 25.is there any code that could help me find the area, as I don't have the x points for some of the slice when its height is 25.

these are the point for the curve.

x= [-21.4, 0, 21.4, 42.8, 64.2, 85.6, 107, 128.4, 150, 171.4];
y= [0, -2.89, -2.89, 0, 5.89, 15.24, 28.72, 47.92, 76.84, 121.31];

i need a MATLAB code

Explanation / Answer

>> n = 9; % number of small trapeziums formed after splitting

a = -21.4; %  starting point or lower limit of the area

b = 171.4; %  end point or upper limit of the area

sum = 0.0;  % to find the sum

dx = (b-a)/(n-1); %  to find step size or height of trapezium

% Generating the samples

for i = 1:n

    x(i) = a + (i-1)*dx;

end

% to generate the value of function at different values of x or sample

for i = 1:n

    y(i) = 9E-10x(i).^5 - 2E-07x(i).^4+1E-05x(i).^3+0.003x(i).^2-0.074x(i)-2.825;

end

% computation of area by using the technique of trapezium method

for i = 1:n

    if ( i == 1 || i == n) % for finding the sum of fist and last ordinate

        sum = sum + y(i)./2;

    else

        sum = sum + y(i); % for calculating the sum of other ordinates

    end

end

area = sum * dx; % defining the area

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