I have a few questions about the following property of definite integrals:(adsbygoogle = window.adsbygoogle || []).push({});

$$\int_a^b f(x) dx = \int_a^c f(x) dx + \int_c^b f(x) dx$$

What exactly are the prerequisites for this property?

Should ##c## be a member of ##[a,b]##? Should the function ##f## be defined at ##c##?

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# Definite integrals

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