# Riemman integral

## Main Question or Discussion Point

If the integral is $$\int^{\pi-\epsilon}_{-\pi+\epsilon}d\theta$$.

where $$\theta$$ is a angular coordinate.

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

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The green path. The angle increases from $-\pi+ \epsilon$ to $\pi- \epsilon$ counterclockwise.