# `int_0^(pi/4) cscx dx` Decide whether the integral is improper. Explain your reasoning

The integral `int_0^(pi/4)csc x dx` is improper because cosecant is not defined on zero (more generally `csc x` is not defined for `x in {k pi, k in ZZ}.`) and the interval of integration includes that point.

The image below shows graph of the function over `[-pi/4,pi/4].` As we can see

`lim_(x to...