Consider the circle x^(2) + y^(2) = 16 and the straight line y = sqrt3x as shown in the figure. (i)Find the points A and B as shown in the figure. (ii) Find the area of the shaded region in the figure using definite integral.

Find the area of the unshaded region.

Find the area of the unshaded region.

Consider the functions, f(x) = |x| - 1 and g(x) = 1 - |x| (a) Sketch their graphs and shade the closed region between them. (b) Find the area of their shaded region.

Figure shows the curve y=x^2 . Find the area of the shaded part between x=0 and x=6 .

Find the area of the region common to the circle x^(2) + y^(2) = 16 and the parabola y^(2) =6x .

Find the area of the region in which points satisfy 3 le |x| + |y| le 5.

Find the area of the region R which is enclosed by the curve ygeqsqrt(1-x^2) and max {|x|,|y|}lt=4.

Find the area of the region bounded by y^2=4ax and x=|y| .

Find the area of the region bounded by the parabola y = x^(2) and y = |x| .