Question

Sketch the graph of y = x|x| and hence find the area bounded by this curve, X-axis and the ordinates x = –2 and x = 2, using integration.

Using integration, find the area bounded by the ellipse 9x² + 25y² = 225, the lines x = –2, x = 2, and the X-axis.

Area of the region bounded by curve y² = 4x and the X-axis between x = 0 and x = 1 is :

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