- #1
Shaybay92
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Homework Statement
So I have to use the type I type II region formula to find the volume under the equation (2x-y) and over the circular domain with center (0,0) and radius 2. Do I have to split this circle into semi-circles and treat it as 2 type I domains? I got the following limits for the top half, but I get stuck when integrating:
The Attempt at a Solution
y limits:
Upper: Sqrt(2 - x^2) from the equation 2 = y^2 + x^2
Lower: 0
X limits:
Upper: 2
Lower: -2
So I have to find the integral with respect to y of 2x-y with limits 0 to Sqrt[2-x^2]
After integrating with respect to Y I got:
2x(Sqrt[2-x^2]) - 1 + (x^2)/2
Is this correct to start with? Then integrate with respect to x from -2 to 2?