Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the region.

Question

2y=5x , y=3 and 2y+1x=6

It is easier to integrate with respect to the variable

Area =

Help!!!!

Answer 1

you can see the region here:

http://www.wolframalpha.com/input/?i=plot+2y%3D5x+%2C+y%3D3+and+2y%2B1x%3D6+for+0%3C%3Dx%3C%3D2

Integration over y will be easier, since the horizontal strips are all parallel to the upper edge.

If you integrate over x, then you have to break the region into two parts, because the lower boundary changes at x=1.