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Area bounded by the curve y = x3, the x-axis and the ordinates x = –2 and x = 1 is
The area A enclosed is –
A =
=
= 16/4 + 1/4
= 17/4 (Ans)
If the area above the x-axis, bounded by the curves y = 2kx and x = 0, and x = 2 is then the value of k is
The area included between the parabolas y2 = 4x and x2 = 4y is (in square units)
The area bounded by the curve y = loge x and x-axis and the straight line x = e is
The area bounded by y = 2 – x2 and x + y = 0 is
The area bounded by the parabola x = 4 – y2 and y-axis, in square units, is
If An be the area bounded by the curve y = (tan x)n and the lines x = 0, y = 0 and x = π/4, then for x > 2
The area of the region formed by x2 + y2 – 6x – 4y + 12 ≤ 0, y ≤ x and x ≤ 5/2 is
The area enclosed between the curves y =loge (x + e), x = logeand the x-axis is
The area of the region bounded by the parabola (y – 2)2 =x – 1, the tangent to it at the point with the ordinate 3 and the x-axis is
The area bounded by the curves y = sin x between the ordinates x = 0, x = π and the x-axis is
The area bounded by the parabola y2 = 4ax and x2 = 4ay is
The area bounded by the curve y = x4 – 2x3 + x2 + 3 with x-axis and ordinates corresponding to the minima of y is
The area bounded by the parabola y2 = 4ax, latus rectum and x-axis is
The area of the region is
The area common to the parabola y = 2x2 and y = x2 + 4 is
The area of the region bounded by the parabola y = x2 + 1 and the straight line x + y = 3 is given by
The ratio of the areas between the curves y = cosx and y = cos 2x and x-axis from x = 0 to x = π/3 is
The area between x-axis and curve y = cos x when 0 ≤ x ≤ 2π is
Area bounded by parabola y2 = x and straight line 2y = x is
The area bounded by the curve y = 4x – x2 and the x-axis is
Area enclosed between the curve y2 (2a – x) = x3 and the line x = 2a above x-axis is
The area of the region (in square units) bounded by the curve x2 = 4y, line x = 2 and x-axis is
The area bounded by the curve y = f(x), x-axis, and the ordinates x = 1 and x = b is (b – 1) sin (3b + 4). Then, f (x) is
The area bounded by the curve y2 = 8x and x2 = 8y is
The area bounded by the parabola y2 = 8x, the x-axis and the latusrectum is
The area bounded by the curve y = x |x| and the ordinates x = –1 and x = 1 is given by
The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤ π/2 is
The area of the circle x2 + y2 = 16 enterior to the parabola y2 = 6x is
Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is
Area lying between the curves y2 = 4x and y = 2x is
Area lying in first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2, is
Area of the region bounded by the cure y2 = 4x, y-axis and the line y = 3, is