Draw a rough sketch of `y=sin 2x` and determine the area enclosed by the curve. X-axis and the lines `x=pi//4` and `x=3pi//4`.

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

Draw the rough sketch of y^2+1=x , xle2 and find the area enclosed by the curve and the ordinate at x=2.

Draw a rough sketch of the curve y^2+1=x , xle2 . Find the area enclosed by the curve and the line x=2.

Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by the curve and the line x=2.

Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by the curve and the line x=2.

Draw the rough sketch of y^2+1=x ,\ xlt=2. Find the area enclosed by the curve and the line x=2.

Draw a rough sketch of the curve x^2 + y =9 and find the area enclosed by the curve, the x-axis and the lines x + 1 = 0 and x-2 = 0.

Draw a rough sketch of the curve y^2=4x and find the area of the region enclosed by the curve and the line y=x.

The area bound by the curve y=sec x, then x-axis and the lines x=0 and x=pi//4, is