Area of the region bounded by the curve $y^2 = 4x$, $y$-axis and the line $y = 3$ is equal to

The area (in square units) of the region bounded by the curve $y^2 = 4ax\ (a > 0)$ and the lines $y = 2a, x = 0$ is equal to:

Area (in sq. units) of the region bounded by the curves $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is

The area (in sq. units) bounded by the parabola $y^2 = 4ax$, its latus rectum and the $x$-axis in the first quadrant is:

The area of the region $\{(x, y): x^2 + y^2 \leq 1 \leq x + y\}$ is

The area bounded by $x = \sqrt{9 - y^2}$, $x - y + 3 = 0$ and x-axis is :

Evaluate $\int_0^{\frac{1}{3}} y \, dx$