Find the area of the region bounded by the curves y2 = 9x, y = 3x.
Find the area of the region bounded by the parabola y2 = 2px, x2 = 2py
Find the area of the region bounded by the curve y = x3 and y = x + 6 and x = 0.
Find the area of the region bounded by the curve y2 = 4x, x2 = 4y.
Find the area of the region included between y2 = 9x and y = x
Find the area of the region enclosed by the parabola x2 = y and the line y = x + 2
Find the area of region bounded by the line x = 2 and the parabola y2 = 8x
Sketch the region and x-axis. Find the area of the region using integration
Calculate the area under the curve included between the lines x = 0 and x = 1.
Using integration, find the area of the region bounded by the line 2y = 5x + 7, x-axis and the lines x = 2 and x = 8.
Draw a rough sketch of the curve in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5
Determine the area under the curve included between the lines x = 0 and x = a
Find the area of the region bounded by and y = x.
Find the area enclosed by the curve y = –x2 and the straight lilne x + y + 2 = 0.
Find the area bounded by the curve , x = 2y + 3 in the first quadrant and x-axis
Find the area of the region bounded by the curve y2 = 2x and x2 + y2 = 4x
Find the area bounded by the curve y = sinx between x = 0 and x = 2π
Find the area of region bounded by the triangle whose vertices are (–1, 1), (0, 5) and (3, 2), using integration.
Draw a rough sketch of the region {(x, y) : y2 ≤ 6ax and x2 + y2 ≤ 16a2}. Also find the area of the region sketched using method of integration.
Compute the area bounded by the lines x + 2y = 2, y – x = 1 and 2x + y = 7.
Find the area bounded by the lines y = 4x + 5, y = 5 – x and 4y = x + 5.
Find the area bounded by the curve y = 2cos x and the x-axis from x = 0 to x = 2π.
Draw a rough sketch of the given curve y = 1 + |x +1|, x = –3, x = 3, y = 0 and find the area of the region bounded by them, using integration.
The area of the region bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ is.
The area of the region bounded by the curve x2 = 4y and the straight line x = 4y – 2 is.
The area of the region bounded by the curve and x-axis is.
Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the circle x2 + y2 = 32 is
Area of the region bounded by the curve y = cos x between x = 0 and x = π is
The area of the region bounded by parabola y2 = x and the straight line 2y = x is
The area of the region bounded by the curve y = sin x between the ordinates x = 0, x = π/2 and the x-axis is
The area of the region bounded by the ellipse is
The area of the region bounded by the circle x2 + y2 = 1 is
The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is
The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is
