## anonymous 5 years ago Find the area of the region bounded by the graphs of y-1/x and 2x+2y=5

1. Owlfred

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2. watchmath

is that y=1/x ?

3. anonymous

yes. sorry

4. watchmath

The line 2x+2y=5 (i.e., y=(5-2x)/2) is above the graph of y=1/x and they intersect at (1/2,2) and (2,1/2) So the area is given by $\int_{1/2}^2 (5-2x)/2 - \frac{1}{x}\,dx$ Try to continue from there. Watch this video to learn more about computing area http://www.youtube.com/watch?v=xWzycvfOpyw

5. anonymous

I think I have it, but what is the integral of x^-1

6. watchmath

ln x