The area bounded by the y-axis, y = cos x and y = sin x when
A.
B.
C.
D.
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The area of the circle x2 + y2 = 16 exterior to the parabola y2 = 6x is
The area bounded by the curve, x-axis and the ordinates x = –1 and x = 1 is given by
A. 0
Find the area of the region
Using the method of integration find the area of the region bounded by lines:
2x + y = 4, 3x - 2y = 6 and x - 3y + 5 = 0
Find the area bounded by curves
Using the method of integration find the area bounded by the curve
Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and x-axis
Find the area of the smaller region bounded by the ellipse and the line
Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12
Find the area enclosed between the parabola y2 = 4ax and the line y = mx
Find the area bounded by the curve y = sin x between x = 0 and x = 2π
Sketch the graph of and evaluate
Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 1 and y = 4
Find the area between the curves y = x and y = x2
Find the area under the given curves and given lines:
(i) y = x2, x = 1, x = 2 and x-axis
(ii) y = x4, x = 1, x = 5 and x -axis
Area lying between the curve y2 = 4x and y = 2x is
Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is
A. 2 (π - 2)
B. π - 2
C. 2π - 1
D. 2 (π + 2)
Using integration find the area of the triangular region whose sides have the equations y = 2x +1, y = 3x + 1 and x = 4.
Using integration finds the area of the region bounded by the triangle whose vertices are (-1, 0), (1, 3) and (3, 2).
Find the area of the region bounded by the curves y = x2 + 2, y = x, x = 0 and x = 3
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y
Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is
A. 2
Area lying in the first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2 is
A. π
Find the area of the region bounded by the curve y2 = 4x and the line x = 3
Find the area bounded by the curve x2 = 4y and the line x = 4y - 2
Find the area of the region bounded by the parabola y = x2 and
The area between x = y2 and x = 4 is divided into two equal parts by the line x = a, find the value of a
Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line
Find the area of the region in the first quadrant enclosed by x-axis, line and the circle
Find the area of the region bounded by the ellipse
Find the area of the region bounded by x2 = 4y, y = 2, y = 4 and the y-axis in the first quadrant.
Find the area of the region bounded by y2 = 9x, x = 2, x = 4 and the x-axis in the first quadrant.
Find the area of the region bounded by the curve y2 = x and the lines x = 1, x = 4 and the x-axis.