Definite Integrals... with huuuuge exponents? What?

Assassin315 said:
So this one problem I have states: "Find the definite integral of (1/(x^99999 - x))dx from -20 to 20."

I... have no idea how to start this. Is this a trick question? Since this thing can't exist at 0, is the answer that its integral also can't exist at 0; therefore, there isn't a definite integral from -20 to 20?

Thanks!
Exactly right.....
 
Alright. It just sounded way too simple when the rest of the homework problems took a full page each, lol.

Thank you.
 
You could include a plot to show the discontinuities (at x=0 and x=±1) - may get you extra points.
 
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