Question

I need to integrate a parametric eqn. can someone help out ?

Answer 1

\[x_t = 3+\sin(t)\]

\[y_t = 3- 4\cos(t)\]

t from 0 to 2 pi

Answer 2

its an ellipse starting at the point 3,3 right?

Answer 3

parametrics are derived seperatley; can you just integrate then seperately as well?

Answer 4

Don't ask amistre, just jump in, integrate

Answer 5

x = 3t - cos(t)

y = 3t - 4sint(t) then lol

Answer 6

+ C, you knew this was coming

Answer 7

ack!!! lol

Answer 8

nonono... it on an interval lol

Answer 9

oh amistre lol

Answer 10

the other option would be to make a rectanuglar coord equation and integrate

Answer 11

http://www.wolframalpha.com/input/?i=int%28+%283-cos%28t%29%29+%2B+%283-sin%28t%29%29%29+dt+from+0+to+2pi

perhaps?

Answer 12

x = 3t - cos(t); at 0 and 2pi

6pi - 1 - (-1)

y = 3t - 4sint(t) ; 0 , 2pi

6pi - 4(0) - 0

6pi -1+1 + 6pi = 12pi... it matches :)