The area (in sq. units) bounded by the curves $x = y^2$ and $x = y$ in the first quadrant is:

The area of the region bounded by $y = -1$, $y = 2$, $x = y^3$ and $x = 0$ is $\frac{m}{n}$ sq. units, where $\gcd(m, n) = 1$, then $m - n$ is equal to:

The area (in sq. units) of the region bounded by the curve $y = 2x^3$, $x$ - axis and ordinates $x = -1$ and $x = 1$ is:

The area (in sq. units) of the region enclosed by the curve $9x^2 + 4y^2 = 36$ is

The area enclosed by the ellipse $\frac{x^2}{9^2} + \frac{y^2}{6^2} = 1$ is:

If the area bounded by the parabola $x^2+my=0, m>0$ between its vertex and the latus rectum is $\dfrac{3}{2}$ square units, then the value of $m$ is

The portion of the area enclosed by the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$, that lies in the first quadrant is