Riemman integral

  • #1

Main Question or Discussion Point

If the integral is [tex]\int^{\pi-\epsilon}_{-\pi+\epsilon}d\theta[/tex].

where [tex]\theta[/tex] is a angular coordinate.

In the riemman integral , i dont understand if tetha follows the path grenn in figure 1, or [tex]\theta[/tex] follows the path red in figure 2.
 

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  • #2
HallsofIvy
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The green path. The angle increases from [itex]-\pi+ \epsilon[/itex] to [itex]\pi- \epsilon[/itex] counterclockwise.
 

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