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The area of the region bounded by the line y = mx (m > 0), the curve x² + y² = 4 and the x-axis in the first quadrant is π/2 units. Using integration, find the value of m.
Using integration, find the area of the region {(x, y) : 4x² + 9y² ≤ 36, 2x + 3y ≥ 6}.
Using integration, find the area of the smaller region enclosed by the curve 4x² + 4y² = 9 and the line 2x + 2y = 3.
Find the area of the region bounded by curve 4x² = y and the line y = 8x + 12, using integration.
Find the area of the region {(x, y) : x² ≤ y ≤ x + 2}, using integration.
Find the area bounded by the curves y = |x - 1| and y = 1, using integration.
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