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You can this in 2 ways: either along x axis which would ease the situation as the area would be calculated using the even function property of the integrable area, i.e. same magnitude of area on both sides of x axis but with different polarities.
Second is along y axis : Calculate the area bounded by the intercept of the parabola with the line across y axis and Subtract from it the area bounded by the parabola across the y axis.
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