The area bounded by the curve $y = \sin x$ between $x = -\pi/2$ and $x = \pi/2$ is . . . . . . .

The area bounded by the curve $y = 4x - x^2$ and the $x$-axis is:

The area of the region bounded by the parabola $y=x^2$ and the line $y=4$ is . . . . . . sq. units.

The area of the region bounded by the curve $y = x|x|$,the $x-$axis,and the ordinates $x = 1$ and $x = -1$ is given by:

If the area of the region enclosed by the curve $x^2+y^2=16$ and the lines $x=2$ and $x=3$ is $\left(3 \sqrt{7}-4 \sqrt{3}-\frac{8 \pi}{3}+k\right)$ sq units,then $k$ equals

The area (in sq units) of the region bounded by $x=-1$,$x=2$,$y=x^2+1$ and $y=2x-2$ is