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Let's say you're doing some pretty basic trig subs, you go through the integral and then convert it back to being in terms of the original variable, introducing maybe a few inverse trig funcs. Done. Or so you thought. Unfortunately you realize that that pesky arctan or arcsec or sqrt you end up with introduces a sign error when x is negative.
Any good tips to avoiding this?
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>>9146703
Yes, I have a solution for this. It is a simple method: change your major from pleb engineer to masterrace mathematician.
There calc is only for its symbolic value. In ODEs not once have I even put the absolute value inside the logarithm when integrating 1/x. I just don't give a fuck. It doesn't matter. We only care about the substitutions and qualitative aspects of solutions because we will never actually apply the solutions we find.
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>>9146723
I'm not an engineer, I'm an undergrad. Easy mistake to make, though. The issue is my math is entirely self-taught.
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Use hyperbolic functions
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