
Question 1:
Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0), (1, 3) and (3, 2).
Question 2:
Find the area of the circle 4x2 + 4y2 = 9 which is interior to the parabola x2 = 4y.
Question 3:
Find the area bounded by curves (x – 1)2 + y2 = 1 and x2 + y2 = 1.
Question 4:
Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12.
Question 5:
Find the smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2.
Question 6:
Find the area bounded by the curve y = x|x|, x-axis and the ordinates x = –1 and x = 1.
Question 7:
Find the area bounded by the curve x2 = 4y and the line x = 4y – 2.
Question 8:
Find the area bounded by the curves y2 = 4x and y = x.
Question 9:
Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is ______.
Question 10:
Area of the region bounded by the curve y = √(49 – x2) and the x-axis is _____.
Question 11:
Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and y = 1 is _____.
Question 12:
The area enclosed between the graph of y = x3 and the lines x = 0, y = 1, y = 8 is _____.
Question 13:
Find the area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4.
Question 14:
The area bounded by the curve y = x3, the x-axis and two ordinates x = 1 and x = 2 is _____.
Question 15:
Find the area of the region bounded by the curve y = 1/x, x-axis and between x = 1, x = 4.
Question 16:
The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and y = 4 is 56/3 sq units. State whether it is true or false?
Question 17:
Find the area of the region bounded by the circle x² + y² = 1.
Question 18:
What is the area of the parabola y2 = x bounded by its latus rectum?
Question 19:
Find the area of the region bounded by the curve y = e-2x and x-axis for x ∈ (-1, 1).
Question 20:
Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4.
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