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If A₁ denotes the area of region bounded by y² = 4x, x = 1 and x-axis in the first quadrant and A₂ denotes the area of region bounded by y² = 4x, x = 4, find A₁ : A₂.
The area of the region bounded by the curve y² = 4x and x = 1 is :
Find the area of the region bounded by the curves x² = y, y = x + 2 and x-axis, using integration.
Using integration, find the area of region bounded by line y = √3x, the curve y = √(4 - x²) and y-axis in first quadrant.
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 bounded by the parabola y² = 4ax and its latus rectum.
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