Changing variable integral mmn15 1B

[nhrock3]

$$\int_{0}^{5}\int_{0}^{\sqrt{{25-x^{2}}}}ln(1+x^{2}+y^{2})dxdy$$
how to solve it?

 

[rock.freak667]

You might want to try converting it into polar coordinates:

x=rcosθ
y=rsinθ

For the limits you would need to see what shape they are describing.

 

[nhrock3]

what about dx dy

 

[HallsofIvy]

What does your textbook say about integrating in polar coordinates?