Will award medal @ganeshie8 Evaluate the integral int_{R}4xydA Where R is the triangle 7x+y=0,y=0

Question

Will award medal @ganeshie8 Evaluate the integral int_{R}4xydA Where R is the triangle 7x+y=0,y>=0

anonymous · Answer

$$\int\limits_{R}4xydA$$

anonymous · Answer

i am having trouble with the bounds of integration

hartnn · Answer

draw the line 7x+y =7 on the graph

anonymous · Answer

i know they both have to start at zzero

hartnn · Answer

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anonymous · Answer

$$\int\limits_{0}^{1} \int\limits_{0}^{7} 4xydydx$$

anonymous · Answer

or $$\int\limits_{0}^{1}\int\limits_{7}^{0}4xydydx$$

hartnn · Answer

neither :)
the bounds for y would be in terms of x ..
important to plot the line first to get a better understanding..

anonymous · Answer

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anonymous · Answer

so my outside integral is right? but my y values are wrong?

hartnn · Answer

yes, now since we have dy first $(dy dx)$

we shade region with VERTICAL lines
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hartnn · Answer

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