Question

Evaluate the line integral
(x+xy+y)ds
where is the path of the arc along the circle given by x2+y2=25 starting at the point (5,0) going counterclockwise making an inscribed angle of 6(pi)/5.

Answer 1

what is the parameterization of this circle?

Answer 2

x=5cost y=5sint bounds (0, 5(pi)/6)

Answer 3

good, and what is ds?

Answer 4

ds = 5

Answer 5

right, so where are you stuck?

Answer 6

i wrote down that the starting point was (0,5) and thats why i kept getting the answer wrong. i finally realized why and now i have to type the answer online and i only have one try left so i want to make sure my answer is correct.

Answer 7

ok, I will do the problem, then we can compare answers

Answer 8

thank you!

Answer 9

is the angle to 5pi/6 or 6pi/5 ?
you wrote two different bounds

Answer 10

its 5pi/6

Answer 11

ok, what answer did you get last?

Answer 12

74.77563509

Answer 13

hm.. not what I got
what was your integrand?

Answer 14

\[25\int\limits_{0}^{5\pi/6} (cost + 5costsint +sint)dt\]

Answer 15

oh, I see now that I had dropped a 5 in my calculation, but I still don't think I get 74.8
let me double check...

Answer 16

oh, yes I do... that should be the right answer

Answer 17

thank you so much!!!

Answer 18

welcome!

Answer 19

it was correct! thanks!

Answer 20

whew, good!
welcome again :D