Find the area of the region bounded by the curve y² = x and the lines x = 1, x = 4 and the x-axis.

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 x² = 4y, y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region bounded by the ellipse

Find the area of the region bounded by the ellipse

Findtheareaoftheregioninthefirstquadrantenclosedbyx-axis,lineand the circle

Find the area of the smaller part of the circle x2 + y2 = a2 cut off by the line

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 region bounded by the parabola y = x2 and

Find the area bounded by the curve x2 = 4y and the line x = 4y – 2

Find the area of the region bounded by the curve y2 = 4x and the line x = 3

Area lying in the first quadrant and bounded by the circle x² + y² = 4 and the lines x = 0 and x = 2 is A. p B. C. D.

Area of the region bounded by the curve y² = 4x, y-axis and the line y = 3 is (I) 2 B. C. D.

Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y

Find the area bounded by curves (x – 1)2 + y2 = 1 and x2 + y 2 = 1

Find the area of the region bounded by the curves y = x2 + 2, y = x, x = 0 and x = 3

Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0), (1, 3) and (3, 2).

Using integration find the area of the triangular region whose sides have the equations y= 2x +1, y = 3x + 1 and x = 4.

Smaller area enclosed by the circle x² + y² = 4 and the line x + y = 2 is A. 2 (p – 2) (I) p – 2 (II) 2p –1 D. 2 (p + 2)

Area lying between the curve y² = 4x and y = 2x is A. B. C. D.

Find the area under the given curves and given lines: (I) y = x², x = 1, x = 2 andx-axis (II) y = x4, x = 1, x = 5 and x –axis

Find the area between the curves y = x and y = x²

Find the area of the region lying in the first quadrant and bounded by y = 4x², x = 0, y = 1 and y = 4

Sketch the graph of and evaluate

Find the area bounded by the curve y = sin x between x = 0 and x = 2p

Find the area enclosed between the parabola y² = 4ax and the line y = mx

Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12

Find the area of the smaller region bounded bytheellipseand theline

Find the area of the smaller region bounded bytheellipseand theline

Find the area of the region enclosed by the parabola x² = y, the line y = x + 2 and x- axis

Using the method of integration find the area bounded by the curve [Hint: the required region is bounded by lines x + y = 1, x – y = 1, – x + y = 1 and – x – y = 11]

Find the area bounded by curves

Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A (2, 0), B (4, 5) and C (6, 3)

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 of the region

Area bounded by the curve y = x³, the x-axis and the ordinates x = –2 and x = 1 is A. – 9 B. C. D.

The area bounded bythecurve, x-axis and the ordinates x = –1 and x = 1is givenby [Hint: y = x² if x > 0 and y = –x² if x < 0] A. 0 B. C. D.

The area of the circle x² + y² = 16 exterior to the parabola y² = 6x is A. B. C. D.

The area bounded by the y-axis, y = cos x and y = sin x when A. B. C. D.