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That comes with the concept of resolving the definite integral of these complex functions.

What happens is that they fluctuate and so can create issues where the y would cross the x axis and so needs to be handled differently.

So, is there a way, short of "feeling" to know where the zeroes are going to be? Maybe some trick with Trig and log functions?

Next, on the same vein, how do you handle definitive integrals where on of the extremes lands on a limit of a portion of the function...

from practice exercises, I arrived at the solution:

\(\displaystyle =4(\sin(\frac{\pi}{2})+\ln(\abs(\sin(\frac{\pi}{2})))-(\sin(0)+\ln(\abs(\sin(0)))))\)

(where abs is supposed to mean absolute value...

Thanks in advance for the help.