The Area of the Region Bounded by the Curves

Using Integration, find the area of the region bounded the line 2y + x = 8, the x-axis and the lines x = 2, x = 4

Find the area bounded by the lines y – 2x – 4 = 0, y = 0, y = 3 and the y-axis

Calculate the area bounded by the parabola y² = 4ax and its latus rectum

Find the area bounded by the line y = x and x-axis and the ordinates x = 1, x = 2

Using integration, find the area of the region bounded by the line y – 1 = x, the x-axis and the ordinates x = – 2, x = 3

Find the area of the region lying in the first quadrant bounded by the region y = 4x², x = 0, y = 0 and y = 4

Find the area bounded by the curve y = x² and the line y = 4

Choose the correct alternative:

Area bounded by the curve y = x(4 – x) between the limits 0 and 4 with x-axis is