## math_proof Group Title center of mass of the upper half(y>0 of the disk bounded by the circle x^2+y^2=4 with p(x,y)=1+y/2 one year ago one year ago

1. math_proof

is the integral $\int\limits_{-2}^{2}\int\limits_{0}^{2+x} 1+\frac{ y }{ 2 }dydx$

2. philo1234

Do the inner integral first.$\int\limits_{0}^{2+x}1dy +\frac{ 1 }{ 2 } \int\limits_{0}^{2+x}ydy$ Do u know how to integrate?

3. math_proof

yeah

4. math_proof

how did you get that though?

5. philo1234

Properties of integration allows you to do this: $\int\limits_{0}^{2+x}1+\frac{ y }{ 2 }dy = \int\limits_{0}^{2+x}1dy + \int\limits_{0}^{2+x}\frac{ y }{ 2 }dy$

6. philo1234

Are u there?

7. math_proof

is that right what philo wrote? thats for My right? do i have to do it for Mx too?