(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the area enclosed by the hyperbola: 25x^2-4y^2=100 and the line x=3

using the green's theorem

2. Relevant equations

Green's theorem:

[tex]\int_C[Pdx+Qdy]=\int\int(\frac{\partial Q}{\partial x}-\frac{\partial P}{\partial y})dxdy[/tex]

3. The attempt at a solution

We can write the area of the domain as:

area=[tex]\frac{1}{2}\int(xdy-ydx)[/tex]

I know what the graph looks like and i know the parametrisation:

x=2cosht

y=bsinht

but i am to use: area=[tex]\frac{1}{2}\int(xdy-ydx)[/tex] what would be the limits of integration?

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# Area under hyperbola

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