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//Eg-11.1
//pg-468
clear
clc
//The time required to heat up the oil from 60 to 90 degrees centigrade is calculated by integrating the function f(T) from 60 to 90.
//Where f(T) = (dT/dt), temperature gradient.
T = [60;90];
for(i = 1:2)
f(i) = 1/(40-0.3*T(i));
end
//Now the inegration using the formula I = ((T(2)-T(1))/2)*[f(1)+f(2)]
I = ((T(2)-T(1))/2)*(f(1)+f(2)); // Trapezoidal rule
printf('The value of the integral using the formula is %f\n\n',I)
printf(' The exact value of the integral is 1.75(obtained analytically)\n')
printf(' Note that since the function is nonlinear, the value of the integral is approximate.')
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