Imagine you have two mathematical functions written in Matlab, perhaps y = math_func1(x) and y = math_func2(x). We have a function to find the total area between the two functions from xo to xf.

function area = X(xo, xf, dx)

X = xo:dx:xf;

area = 0;

for i = 1:length(X)

y1 = math_function1(X(i));

y2 = math_function2(X(i));

dA = (y1 - y2)*dx;

area = area + dx;

end

Modify this function so that it only takes xo and xf as inputs so that it determines a value of dx automatically that means that the answer is likely to be within 0.1% of the correct answer