- #1
JasonJo
- 429
- 2
Hmm, I can't seem to get this double integral transformation:
int(limits of integration are 0 to 3) int (limits of int are 0 to x) of (dy dx)/(x^2 + y^2)^(1/2)
and i need to switch it to polar coordinates and then evaluate the polar double integral.
i sketched the region over which i am integrating and it isn't a circular region (which is why I guess this was assigned).
but i can't the limits of integration for the theta angle. the radius goes from 0 to 3, but i can't get the theta angle limits of integration.
the answer is 3ln(sqrt(2) + 1))
i can see where the 3 comes from, but i don't know where i would get the ln term.
thank you in advance
int(limits of integration are 0 to 3) int (limits of int are 0 to x) of (dy dx)/(x^2 + y^2)^(1/2)
and i need to switch it to polar coordinates and then evaluate the polar double integral.
i sketched the region over which i am integrating and it isn't a circular region (which is why I guess this was assigned).
but i can't the limits of integration for the theta angle. the radius goes from 0 to 3, but i can't get the theta angle limits of integration.
the answer is 3ln(sqrt(2) + 1))
i can see where the 3 comes from, but i don't know where i would get the ln term.
thank you in advance