In the basic theorem of calculus, is continuous = integrable?

In the basic theorem of calculus, is continuous = integrable?

If the function f (x) is continuous on [a, b], then f (x) is integrable on [a, b]
The continuity of function f (x) on [a, b] is a sufficient condition, but not a necessary condition, for f (x) to be integrable on [a, b]
therefore
Continuous integrability can be derived
Integrable cannot deduce continuous
Continuous ≠ integrable
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How to use difference method, quotient method and reciprocal comparison method to compare size

For example, there are two numbers a and B
Then, if a is greater than 0, B is greater than 0
Business method: A / B is larger than 1, smaller than 1, equal to 1
Reciprocal method: for example, if a and B are fractions, I will assign a value, let a = 1 / 9, B = 1 / 8, so that you can understand better, and then you can take the reciprocal, 1 / A and 1 / B should be 9 and 8, but you should pay attention to the original number with large reciprocal is small

Why does the concept of commercial law in common law belong to the category of substantive commercial law?

There is no strict distinction between civil law and commercial law in Anglo American law, and there is no commercial code in the sense of civil code. The commercial legal norms in Anglo American law have a wide range of sources, including separate laws, precedents, civil autonomy rules and so on