Question

Double integral of D of
ln(1+x squared+y squared dxdy,
D:x squared +y squared =e squared , y=x√3, x=y√3, x≥0.

how do i get the t and the r from the polar coordinates :-S

Answer 1

im not sure what y =xsqrt3 and x=ysqrt3 refer to ??

seems to me the limits are defined by the half circle with radius "e" where x>0

Answer 2

well yes, in polar coordinates, my r+[0,e] and t=[pi/6;pi/3] but i don't have any clue from where to obtain the values of t, t beeing the angle

Answer 3

can i send you the problem ? it's in romanian but i think you can manage, so in this way you will see it on paper.

Answer 4

ok , im not great at polar coord :{
it seems t would range from -pi to pi right ?

Answer 5

sorry i meant -pi/2 to pi/2

Answer 6

the problem is it ranges from pi/6 and pi/3

Answer 7

the second c is the solution, i really don't have any idea from where he gets it :-S

Answer 8

ok those angles come from where the 2 lines intersect the circle

y=sqrt3 x , has slope of sqrt3 --> tan(t) = sqrt3 --> t = pi/3

y = x/sqrt3 has slope of 1/sqrt3 --> tan(t) = 1/sqrt3 --> t = pi/6

Answer 9

thx a lot, now i have to get back to 11 th grade and 12 th grade to recall the slope if i remember correctly :D
i really appreciate the help