Applications of...

The area of the region bounded by curves y = x log x and y = 2x - 2x² is

If f(x) is continuous function such that the area bounded by the curve y = f(x), the X - axis and the lines x = a and x = 0 is

The line x = π/4 divides the area of the region bounded by y = sin x, y = cos x and X - axis (0 ≤ x ≤ π/2) into two regions of areas A₁ and A₂. Then, A₁ : A₂ equals to

The area bounded by the curve y = x|x|, X - axis and the ordinates x = 1, x = -1 is given by

The area of the plane region bounded by the curves x + 2y² = 0 and x + 3y² = 1 is equal to

The area ( in sq units ) of the region bounded by the curves 2x = y² - 1 and x = 0 is

The area enclosed between the curves y = x³ and y = √x is

The area bounded by the curve y = 1/2 x², the X-axis and the ordinate x = 2 is

The area of the region bounded by y = 2x - x² and the X - axis is