Chapter 2 : Application of Integrals
Q. Find the area of the region bounded by the parabola y=x2 and y=|x|.
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Q. Find the area of the region in the first quadrant enclosed by x-axis, line x=3y and the circle x2+y2=4.
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Q. Find the area bounded by curves (x1)2+y2=1 and x2+y2=1.
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Q. Find the area of the region bounded by the curves y=x2+2, y=x, x=0 and x=3.
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Q. Using integration find the area of the region bounded by the triangle whose vertices are (1, 0), (1, 3) and (3, 2).
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Q. Find the area of the region bounded by the ellipse x24+y29=1.
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Q. Smaller area enclosed by the circle x2+y2=4 and the line x+y=2 is
1. 2(π2)
2. π2
3. 2π1
4. 2(π+2)
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Q. Find the area bounded by the curve x2=4y and the line x=4y2.
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Q. The area between x=y2 and x=4 is divided into two equal parts by the line x=a, find the value of a.
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Q. Area of the region bounded by the curve y2=4x, y-axis and the line y=3 is
1. 93
2. 2
3. 94
4. 92
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Q. Find the area of the region bounded by the ellipse x216+y29=1.
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Q. Area lying between the curve y2=4x and y=2x is
1. 23
2. 13
3. 14
4. 34
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Q. Find the area of the smaller part of the circle x2+y2=a2 cut off by the line x=a2.
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Q. Which rules did he break as a school boy?
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Q. Find the area of the circle 4x2+4y2=9 which is interior to the parabola x2=4y.
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Q. Find the area of the region bounded by y2=9x, x=2, x=4 and the x-axis in the first quadrant.
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Q. Area lying in the first quadrant and bounded by the circle x2+y2=4 and the lines x=0 and x=2 is
1. π2
2. π
3. π3
4. π4
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Q. Find the area of the region bounded by the curve y2=x and the lines x=1, x=4 and the x-axis in the first quadrant.
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Q. Find the area of the region bounded by x2=4y, y=2, y=4 and the y-axis in the first quadrant.
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Q. 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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