- #1
ZedCar
- 354
- 1
Homework Statement
A question asks to calculate the integral over the region R given by:
x^2 + y^2 <= 4
0 <= y <= 2
Which would be the upper half of a circle of radius 2 centred on the origin.
The integral is done in the book I have and the limits of x are given as -2 to 2, which I can understand.
Though the limits for y are given as: 0 to (4 - x^2)^0.5
I can see that they have obtained this limit from rearranging the first part of the region R.
BUT, why is the limit for y not 0 to 2. Or alternatively, if what they have done is correct, why is it not equally valid to state the limits for x are: 0 to (4 - y^2)^0.5