-
times cosine of the angle;
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add them all up.
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Then somebody will say,
-
"Well, your segments are not short enough for me."
-
We'll chop it up some more, then chop it up some more,
-
chop it up till your worst critic has been silenced.
-
That's the limit
-
in which you can write the answer as this integral.
-
Just like in calculus when you integrate a function
-
you take tiny intervals Δx, multiply F by Δx,
-
but then you make the intervals more and more numerous
-
but less and less wide