- #1
jahlin
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Homework Statement
Compute the double integral where the region is a triangle with vertices (1,1),(2,4),(5,2).(please see the attachment)
Homework Equations
double integral((16-2x-3y)1/11)da
The Attempt at a Solution
first i found the equation of the three lines :
(1,1)-->(5,2) y=x(1/4)+3/4
(1,1)-->(2,4) y=3x-2
(2,4)--->(5,2) y=-x(2/3)+16/3
and then i set up the double integral by defining the range of x and y limits.
1<x<2 , x(1/4)+3/4<y<3x-2
2<x<5, (1/4)x+3/4<y<-x(2/3)+16/3
i integrated these 2 integrals but I am not getting the right answer!