SOLUTION: Find the area of the region that is bounded by the graphs of f(x)= 4/x , x>0 and g(x)=5-x

Algebra ->  Graphs -> SOLUTION: Find the area of the region that is bounded by the graphs of f(x)= 4/x , x>0 and g(x)=5-x       Log On


   

Question 1079289: Find the area of the region that is bounded by the graphs of
f(x)= 4/x , x>0 and g(x)=5-x
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For x%3E0 , the region between the curves
graph%28300%2C300%2C-1%2C6%2C-1%2C6%2C4%2Fx%2C5-x%29
extends from x=1 to x=4 , with 5-x%3E=4%2Fx .
so, the area by the graphs is
int%28+%28x-5-4%2Fx%29%2C+dx%2C+1%2C+4%29 .
f%28x%29=5x-x%5E2%2F2-4%2Aln%28x%29=int%28+%28x-5-4%2Fx%29%2C+dx%29 , so