For any real t, x=2+(e^(t)+e^(-1))/(2)...

For any real t,
`x=2+(e^(t)+e^(-1))/(2),y=2+(e^(t)-e^(-t))/(2)` is a point on the hyperbola `x^(2)-y^(2)-4x+4y-1=0`. Find the area bounded by the hyperbola and the lines joining the center to the points corresponding to `t_(1) and -t_(1)`.

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For any real t, `x=2+(e^(t)+e^(-1))/(2),y=2+(e^(t)-e^(-t))/(2)` is a point on the hyperbola `x^(2)-y^(2)-4x+4y-1=0`. Find the area bounded by the hyperbola and the lines joining the center to the points corresponding to `t_(1) and -t_(1)`.

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For any real t,
`x=2+(e^(t)+e^(-1))/(2),y=2+(e^(t)-e^(-t))/(2)` is a point on the hyperbola `x^(2)-y^(2)-4x+4y-1=0`. Find the area bounded by the hyperbola and the lines joining the center to the points corresponding to `t_(1) and -t_(1)`.