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tdabboud
 3 years ago
x=2t
y=3t^2 0<= t <= 1
Evaluate the integral
tdabboud
 3 years ago
x=2t y=3t^2 0<= t <= 1 Evaluate the integral

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tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{}^{}(xy)ds\]

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0ds is the line integral which equals sqrt( (dx/dt)^2 + (dy/dt)^2 dt)

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1ok cool give me just a sec i will scan in something

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1is that dt outside the sqrt?

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0no its underneath atleast thats what it seems like in my book go here: http://tutorial.math.lamar.edu/Classes/CalcIII/LineIntegralsPtI.aspx The equation is the 2nd blue one

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0okay it just looks like its inside

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1i had to use integration by parts. it is long problem and maybe i'm going about the long way and there is a shorter way, but I got you started

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1don't do it htis way there has to be a shorter way

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0haha I really appreciate the help, that is exactly where I got to in the problem

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0I got to \[2\int\limits_{0}^{1}(2t3t^2)(\sqrt{9t^2+1}\] and after that is where I am getting stuck trying to evaluate the integral

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1we could try integration by parts but that is messy I have the answer do you want it?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1(1/6)*t*(1+9*t^2)^(3/2)+(1/12)*t*sqrt(1+9*t^2)+(1/36)*arcsinh(3*t)+(4/27)*(1+9*t^2)^(3/2)

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0yeah that is pretty messy it seems like it should be a lot easier than what we have you know. I got the same thing off of wolframalpha

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1even the answer with the limits is messy

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0yeah I know right and this is just a take home quiz idk. Its just that square root that is making messy like that

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1omg i got it one sec let me write it neatly

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0haha okay I sure hope so...my brain is fried lol

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1ok im posting this but i'm pretty sure i made a mistake somewhere but the problem is easy than we thought

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0that is certainly a lot easier than how we were doing it and a much cleaner answer

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1i messed up on my addition lol

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0haha around which part?

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.1finding the antiderivative of u^(3/2)

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0okay I see..one dumb addition mistake lol

tdabboud
 3 years ago
Best ResponseYou've already chosen the best response.0I dont think I can thank you enough tho, This most certainly helped me out tremendously, I def needed some help on this problem. Thank you again
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