Double Integral: int[1, 2] int[y^3, 8] 1/sqrt[x^2 + y^2] dx dy

[dsoler1998]

Hello, I need help with this double integral. I have tried with rectangular coordinates, but it's impossible. How can I propose this problem with polar coordinates? Thank you

Sorry for posting the dropbox link, but I can't upload a picture.

\(\displaystyle \displaystyle{\int_1^2 \int_{y^3}^8 \dfrac{1}{\sqrt{x^2+y^2}} dx dy}\)

Integral: https://www.dropbox.com/s/0ftg7yg32dwvfov/IMG_20160828_112423872.jpg?dl=0

 

[Deleted member 4993]

Hello, I need help with this double integral. I have tried with rectangular coordinates, but it's impossible. How can I propose this problem with polar coordinates? Thank you

Sorry for posting the dropbox link, but I can't upload a picture.

\(\displaystyle \displaystyle{\int_1^2 \int_{y^3}^8 \dfrac{1}{\sqrt{x^2+y^2}} dx dy}\)

Integral: https://www.dropbox.com/s/0ftg7yg32dwvfov/IMG_20160828_112423872.jpg?dl=0

Substitute

x = r*cos(Θ) and
y = r*sin(Θ)

Change dx, dy and the limits of integration accordingly