The ratio of the areas between the curves `y=cosx` and `y=cos2x` and x-axis from `x=0` to `x=pi/3` is (A) `1 : 3` (B) `2 : 1` (C) `sqrt(3) : 1` (D) none of these

The ratio of the areas between the curves y=cos x and y=cos2x and x-axis from x=0 to x=(pi)/(3) is

Find the area bounded by the curve y=2 cosx and the X-axis from x = 0 to x=2pi .

Find the area bounded by the curve y=2 cosx and the X-axis from x = 0 to x=2pi .

Area lying between the curves y=tanx, y=cotx and x-axis, x in [0, pi/2] is (A) 1/2log2 (B) log2 (C) 2log(1/sqrt(2)) (D) none of these

The area between the curves y=x^(2) and y=x^(1//3), -1 le x le 1 is

The area of the figure bounded by the curves y=cosx and y=sinx and the ordinates x=0 and x=pi/4 is (A) sqrt(2)-1 (B) sqrt(2)+1 (C) 1/sqrt(2)(sqrt(2)-1) (D) 1/sqrt(2)

Find the area included between the curve y=cosx , the x- axis and ordinates x=-pi/2 and x=pi/2

The area enclosed by the curves y = cos x, y = 1+sin 2x and x= (3pi)/2 as x varies from 0 to (3pi)/2 , is

Curves y=f(x) passing through the point (0,1) and y=int_-oo^x f(t) dt passing through the point (0,1/3) are such that the tangents drawn to them at the point with equal abscissae intersect on x-axis. Answer the question:The area bounded by the curve y=f(x), y=x and ordinates x=0 and x=1 is (A) (e^2-1)/2 (B) (e^2-1)/3 (C) (e^3-1)/3 (D) none of these