The curve y x 2 1, 0 x 2, which is part of the upper branch of the hyperbola y 2 x 2 1, is revolved about the x axis to generate a surface Find the area of the surface

Question: The curve y = x 2 + 1, 0 x 2, which is part of the upper branch of the hyperbola y 2

The curve y = √x² + 1, 0 ≤ x ≤ √2, which is part of the upper branch of the hyperbola y² - x² = 1, is revolved about the x-axis to generate a surface. Find the area of the surface.

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