Back of the book says the answer is zero, but I keep getting infinity (which I think means it is divergent), and I don't know where the discrepancy lies :/
Thank you, glad it was something stupid and not a complete lack of understanding on how to do these.
Pretty confident, then, that I can do these now, but I already uploaded my next two problems, so if someone wouldn't mind checking the answers, I would appreciate it. They're even problems, so not in the back of the book, and the calculator I usually use to check my work doesn't seem to like infinite boundaries.
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>.< not my night, think I'll pick these back up tomorrow when my mind is fresher.
Okay, how do I remedy that? Put the limit in place pior to changing the limits?
It's so hard to force myself to do these, I know what I want to do, I have like the next 3 or 4 steps planned in my mind, and then I get bogged down writing out the notation.
Thank you for your help, btw.
Okay, I redid the problem, trying to use all limits until the end when I couldn't simplify any more without plugging infinity back into the problem. I am hoping that this fixes the problem of "treating oo like a number." Can someone let me know if this is the correct way to handle this type of problem?
Looks much better.
This is not a criticism, but I'd be inclined to do it the following way:
The substitution means that the integral limits change from to .
So the integral becomes .
Then I'd do the limit business on this improper integral ..... I just find it makes life a bit easier.
But there is nothing wrong with your approach.