Make a rough sketch of the graph of the function `y=4-x^2,\ 0lt=xlt=2` and determine the area enclosed by the curve, the x-axis and the lines `x=0\ a n d\ x=2.`

Draw a rough sketch of the graph of the function y^2=4x

Make a rough sketch of the graph of the function y = 4-x^2, 0 le xle 2 and determine the area enclosed between the curve and the lines x= 0, x= 2 and x-axis.

Make a rough sketch of the graph of the function f(x)= 9-x^2, 0lexle3 and determine the area enclosed between the curve and the axes.

(i) Make a rough sketch of the graph of the function y=sin x, 0lexlepi/2 and determine the area enlosed between the curve, the, the x-axis and the line x=pi/2 .

Make a rough sketch of the graph of the function y =2 sin x, 0 le x le (pi)/(2) and determine the area enclosed between the curve, the x-axis and the line x = (pi)/(2).

Make a rough sketch of the functionn y= x^2, 0 lex le 3 and determine the area enclosed between the curve, the x-axis and the line x= 3.

(i) Make a rough sketch of the graph of the function y = sin x, 0 le x le (pi)/(2) and determine the area enclosed between the curve, the x-axis and the line x = (pi)/(2). (ii) Find the area bounded by the curve: (I) y = sin x" "(II) y = cos x bewtween x =0 and x =2pi.

Determine the area enclosed by the curve y=x^3 , and the lines y=0,x=2 and x = 4.

Make a rough sketch of the graph of the function y = cos^2x, 0le xle pi/2 and determine the area inclosed between thhe curve and the axes.

Make a rough sketch of the graph of the function y = 3 sin x, 0le xlepi and compute the area enclosed between the curve and the X-axis.