Question

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

Answer 1

\[\int\limits_{R}4xydA\]

Answer 2

i am having trouble with the bounds of integration

Answer 3

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

Answer 4

i know they both have to start at zzero

Answer 5

\[\int\limits_{0}^{1} \int\limits_{0}^{7} 4xydydx\]

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

yes, now since we have dy first \((dy dx)\)

we shade region with VERTICAL lines