Help me understand the meaning of these lines

  • #1
navneet9431
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IMG_20180819_154732.jpg

What does the author want to say through these lines?
What is the *harm* he is talking about?

I will be thankful for any help!
 

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  • #2
PeroK
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It's a strange way to describe things. The calculation involving a finite ##dx## is an approximation. You effectively take the mass element from ##x## to ##x + dx## all to be at position ##x##. As ##dx## gets smaller, the approximation gets better. The limit ##dx \rightarrow 0## is the integral.
 

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