Thread: Double integral

Can someone please help

I don't understand how to solve this problem.

double integral of xy dA where R is the region bounded by y=x , y=2x and x+y=2

Originally Posted by s7b

Can someone please help

I don't understand how to solve this problem.

double integral of xy dA where R is the region bounded by y=x , y=2x and x+y=2

1)Draw the region.
2)Find the point of intersection between y=x and y=2x
3)Drop a vertical line from this point so that it divides R into two pieces.
4)Now find the area of each piece.

Originally Posted by s7b

Can someone please help

I don't understand how to solve this problem.

double integral of xy dA where R is the region bounded by y=x , y=2x and x+y=2

Did you plot the region R defined by those three functions? If you plot them, you can easily find the limits of integration.

To solve this, you'll need to set up two double integrals.

Can you try to take it from here?