Question

Find the exact length of the polar curve . . .

Answer 1

\[r=\theta\]
\[0\le \theta \le2pi\]

Answer 2

looks like it's going to be spiral ...

Answer 3

shouldnt we add up all the tangents?

Answer 4

http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength.aspx

Answer 5

\[ length = \int_{0}^{2\pi} r d\theta\]

Answer 6

Oh ... i got it wrong.

Answer 7

you got the dt right :)

Answer 8

Not really, I got the area ... I think ... LOL
http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength_files/eq0013M.gif

Answer 9

http://tutorial.math.lamar.edu/Classes/CalcII/PolarArcLength_files/eq0006M.gif

Answer 10

\[\int \sqrt{t^2+1}dt\]
right?

Answer 11

http://www.wolframalpha.com/input/?i=integrate+sqrt%281%2Bx%5E2%29+dx+from+0+to+2pi