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in Application of Integral: Quadrature by (48.0k points)

Find the area of the region bounded by parabola y2 = x and line x + y = 2.

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Area of region bounded by parabola y2 = x and x + y = 2 is shown by shaded part in the following graph.

x = 1 at y = 1 and x = 4 at y = - 2 are obtained

Thus, intere section point is (2, 4)

Thus requied area

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