SOLUTION: Hi there, this is a question about definite integrals I'm assuming but I'm not sure how to find these Help would be greatly appreciated! This is the question: Find the area of th

Algebra ->  Exponents -> SOLUTION: Hi there, this is a question about definite integrals I'm assuming but I'm not sure how to find these Help would be greatly appreciated! This is the question: Find the area of th      Log On


   

Question 1039207: Hi there, this is a question about definite integrals I'm assuming but I'm not sure how to find these Help would be greatly appreciated! This is the question:
Find the area of the region enclosed by the following graphs.
b) xy = 6, x + y = 7
c)y^2 = 3x, x^2 = 3y
Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
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Hi there, this is a question about definite integrals I'm assuming but I'm not sure how to find these Help would be greatly appreciated! This is the question:
Find the area of the region enclosed by the following graphs.
b) xy = 6, x + y = 7
c)y^2 = 3x, x^2 = 3y
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

1. This area is a definite intergral of the function Y2(x) - Y1(x),

   where Y2(x) = 7-x  and  Y1(x) = 6%2Fx.

   See the figure below:


 
  

   

graph%28+330%2C+330%2C+-2.5%2C+10.5%2C+-2.5%2C+10.5%2C%0D%0A++++++++++7-x%2C+6%2Fx%0D%0A%29


Figure. Plots  Y2(x) = 7-x  (red)  and  Y1(x) = 6%2Fx  (green)
You need to find the lower and the upper limits of integration.