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a book can't expect anything
Nope, you don't need it. I don't learn trig subs untill a coming lesson. So my book doesn't expect me to know it at this point.
Ooooh. I didn't think to try trigonomic substitution. Hmm, trigonomic substitution....foggy and dim. I don't think that I have ever used that after learning it in college years ago. If I don't see an answer here for a while, perhaps I will review that material. I am not that interested though, because like I stated above, it hasn't proven very useful in my life.
This IS a problem in my book, and the answer is a simple expression. Usually these problems are rigged. So there must be a way to do it.
I tried this one and I think that it is possible. I did a u substitution and was left with something that seemed to be able to done by integration by parts. However I was completely stumped as to what the limits of integration should be or what to do with the undefined(?) uv part.
Calculus..yes.....it effects us all...
I'll look at it later today. I need to study for my Calc test anyway.
Well I just had a long chat on AIM with a more advanced calculus student and he couldn't solve it either, and is curious to know how its solved.
Find the length of the curve y = x^(2/3) from x = 0 to x = 8.