Anthony_Lopez
Well-Known Member
I had the bright idea to take an intensive Calculus II class over winter break. 5 days a week, 9 hours a day, 2 weeks = 4 credits:rockin:
Anyhow, we found something really strange at the end of the day today while checking a problem we had worked out, and my professor told us to look into it over the weekend.
Anyhow, we were doing integration of trig functions using trig identities for u/du replacements. We solved the problem below, and got the second to last answer without a problem, however we don't understand the last line of the problem.
We can call (-ln|sin(x)|) part of C since it shows up on the last two lines of the solution.
So this means that -cot^2(x) = -csc^2(x) when X has restricted values? What we really want to know is how Wolfram Alpha knew to put a limit on the integral.
Anyhow, we found something really strange at the end of the day today while checking a problem we had worked out, and my professor told us to look into it over the weekend.
Anyhow, we were doing integration of trig functions using trig identities for u/du replacements. We solved the problem below, and got the second to last answer without a problem, however we don't understand the last line of the problem.
We can call (-ln|sin(x)|) part of C since it shows up on the last two lines of the solution.
So this means that -cot^2(x) = -csc^2(x) when X has restricted values? What we really want to know is how Wolfram Alpha knew to put a limit on the integral.