Question

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.

Find the area of the following region using integration: {(x, y) : y² ≤ 2x and y ≥ x − 4}