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shards5
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Homework Statement
Evaluate the double integral ∫∫D xy dA where D is the triangular region with vertices (0,0) (6,0) (0,1).
Homework Equations
The Attempt at a Solution
0 <= x <= -[tex]\frac{1}{6}[/tex]x+1
0 <= x <= 6
the first integral would be the integral from 0 to -1/6x+1 of xy with respect to y
which gives me [tex]\frac{x*y2}{2}[/tex] which I plug in -1/6x + 1 into to get
[tex]\frac{1/36x^3-12x^2+1/36x}{2}[/tex]
Integrating that I got x^4/288 - x^3/72 + x^2/4, which is wrong. I am not sure what I did wrong.