Plotting function with min/max problem

I try to plot:

$Plot{min(3; 14/(9*a)) @ a = 0.1 : 3}

But was: Unexpected error: Index was outside the bounds of the array. Please check the expression consistency. This works correctly:

$Plot{14/(9*a)*(14/(9*a) ≤ 3) + 3*(14/(9*a) > 3) @ a = 0.1 : 3}

So, is it simple mistake or deep calculation problem? $Area works nomally with this function, $Integral doesn’t works too.

[Proektsoftbg]

@cser thank you for your feedback. About plot-min, probably it is a minor bug. I will take a look. About $Integral, it must be used only for analytic functions (continuous and smooth) - without jumps or angles. This is how Tanh-Sinh method works. But for such functions, it is many times faster than $Area. I included this into the documentation.

If you have discontinuities (say at point c), you have to separate the integral and sum both parts:

$Integral{f(x) @ x = a : c} + $Integral{f(x) @ x = c: b}

[cser]

Yes! It works now.