Area under the curve when `2x^2le y le4-2x`

Find the area bounded by the curves x ^(2) le y le x + 2:

If the line x=a bisects the area under the curve y=(1)/(x^(2)), 1 le x le 9 , then a is equal to

If the area bounded by the curves x^(2)+y^(2) le 4, x+y le 2, and y ge1 is (2pi)/(K)-(sqrtK)/(2)-(1)/(2)sq . units, then the value of K is equal to

Find the area bounded by the curve |y|+1/2 le e^(-|x|) .

The area bounded by the curve y = sin^(2) x, 0 le x le pi/2 , X axis and the line x = pi/2 is

Area between the x-axis and the curve y=cosx , when 0 le x le 2pi is (A) 0 (B) 2 (C) 3 (D) 4

The area of the region (in square units) above the x - axis bounded by the curve y=tan x, 0 le x le (pi)/(2) and the tangent to the curve at x=(pi)/(4) is