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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 smaller region enclosed by the curve 4x² + 4y² = 9 and the line 2x + 2y = 3.
∫₀² √(4 − x²) dx equals :
Using integration, find the area of the region bounded by the curves x² + y² = 4, x = √3 y and x-axis lying in the first quadrant.
The area of the shaded region of the circle given below is equal to :
Sketch the graph defined by {(x, y) : x²/25 + y²/25 = 1}. Find the area of the region of minor segment cut off by the line x = 5/2, using integration.
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