Question about integrals in general

[Ed Quanta]

Let's say I have an integral from -pi to 0 of csc(x)dx

This obviously is equal to ln|csc0 - cot0| - ln|csc(-pi) - cot(-pi)|

But csc is undefined for both these values., so is this integral not able to be evaluated? Or can we just let csc0 and csc(-pi) be equal to 0? Oh so confused. Please help.

[dextercioby]

Let's say I have an integral from -pi to 0 of csc(x)dx

This obviously is equal to ln|csc0 - cot0| - ln|csc(-pi) - cot(-pi)|

But csc is undefined for both these values., so is this integral not able to be evaluated? Or can we just let csc0 and csc(-pi) be equal to 0? Oh so confused. Please help.

Evaluate the defined integral wrt to the limits "a" and "b" and then,in the final result,which should be a function of "a" and "b" let the limits a->-pi and b->O.

Good luck!