This property (B) is a well known property from integration… Please add it to the correct options
![](https://gateoverflow.in/?qa=blob&qa_blobid=17797435129593452359)
Source: Tom M. Apostol – Calculus Vol-1 2nd Edition
Note:
Saying, f and g are continuous for all $x \epsilon [a,b]$ is equivalent of saying both f and g are integrabele on [a,b]