Compute the area of the region bounded by y=(17/4) - (1/x) and y=x.

aruv | Student

In graph red curve represent  `y=17/4-1/x`  and green line represents

y=x. These two graphs of curve and straight line intersect each other at point (4,4) and (1/4,1/4). We wish to find area bounded between these two curves.Let A be the required area

`A=int_(1/4)^4(17/4-1/x)dx-int_(1/4)^4 xdx`

`=int_(1/4)^4 (17/4-1/x-x)dx`





`` Ans.