Question

Find the area of the region bounded by the curve 4x² + y² = 36 using integration.

The area bounded by the curve y = √x, Y-axis and between the lines y = 0, y = 3 is :

The area (in sq. units) of the region bounded by the curve y = x, x-axis, x = 0 and x = 2 is :

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.