Answer
Improper (Improper Integrals with Infinite Discontinuities, case 2.)
Work Step by Step
The integral has finite bounds so we look at the Definition of Improper Integrals with Infinite Discontinuities.
$f(x)=\csc x$ is undefined at $x=0$, so the following case applies.
2. If $f$ is continuous on the interval $(a, b]$ and has an infinite discontinuity at $ a$, then
$\displaystyle \int_{a}^{b}f(x)dx=\lim_{c\rightarrow a^{+}}\int_{c}^{b}f(x)dx$
