Area bounded by the curve y = x3, the x-axis and the ordinates x = – 2 and x = 1 is

Using the method of integration find the area of the region bounded by lines:

2x + y = 4, 3x – 2y = 6 and x – 3y + 5 = 0

Find the area of the region {(x, y) : y² ≤ 4x, 4x² + 4y² ≤ 9}

The area bounded by the curve y = x |x|, x-axis and the ordinates x = – 1 and x = 1 is given by

[Hint: y = x² if x > 0 and y = – x² if x < 0].

The area of the circle x² + y² = 16 exterior to the parabola y² = 6x is