| 1 |
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Find the area of the region bounded by the curve y^2 =x and the lines x = 1 , x = 4 and the x axis |
| 2 |
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Find the area of the region bounded by y^2 = 9x, x=2, x =4 and the x axis in the first quadrant |
| 3 |
 |
How to area bounded by hyperbola and lines x^2 = 4y , y=2, y=4 and the y axis in the first quadrant |
| 4 |
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Bounded area of ellipse: Find the equation of the region bounded by the ellipse x^2/16 + y^2/9 =1 |
| 5 |
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Application of integrals: Find the equation of the region bounded by the ellipse x^2/4 + y^2/9 =1 |
| 6 |
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Application of Integrals:How to find the area of the region in the first quadrant enclosed |
| 8 |
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Area between x=y2 and x=4 is divided in two equal parts by the line x = a, find the value of a |
| 9 |
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Find the area of the region bounded by the parabola y = x^2 and y= |x| |
| 10 |
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Find the area bounded by the curve x^2 =4y and the line x = 4y- 2 |
| 12 |
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Area lying in the first quadrant and bounded by the circle x^2 + y^2 =4 and lines x =0 and x = 2 |
| 13 |
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Area of the region bounded by the curve y^2 =4x , y axis and the line y=3 is
Exercise 8.2
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| 1 |
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Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the parabola x^2 =4y |
| 2 |
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Find the area bounded by curves (x – 1)^2 + y^2 = 1 and x^2 + y^2 = 1 |
| 3 |
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Find the area of the region bounded by the curves y= x^2 + 2 , y=x , x =0 and x = 3 |
| 4 |
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Using integration find the area of region bounded by the triangle whose vertices are ... |
| 5 |
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Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, |
| 6 |
 |
Smaller area enclosed by the circle x^2 +y^2 = 4 and the lines x + y = 2 is |
| 7 |
 |
Area lying between the curves y^2 = 4x and y = 2x is
Miscellaneous Exercise Questions Solution
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| 1 |
 |
Find the area under the given curves and given lines y = x^2 , x=1 , x= 2 and x axis |
| 2 |
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Application of integrals: Find the area between the curves y = x and y = x^2 |
| 3 |
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Find the area of the region lying in the first quadrant and bounded by y = 4x^2, x=0, y=1 and y= 4 |
| 4 |
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Sketch the graph of y = x + 3 and evaluate integration limits 6 to 0 of x + 3 dx |
| 5 |
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Find the area bounded by the curve y = sin x between x = 0 and x = 2π |
| 6 |
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Bunded area region : Find the area enclosed between the parabola y^2 = 4ax and the line y =mx |
| 7 |
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Find the area enclosed by the parabola 4y = 3x^2 and the line 2y = 3x + 12 |
| 8 |
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Find the area of the smaller region bounded by the ellipse x^2/9 + y^2/4 = 1 and the line |
| 10 |
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Find the area of the region enclosed by the parabola x^2 = y, the line y = x + 2 and the x axis |
| 11 |
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Using the method of integration find the area bounded by the curve |
| 12 |
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Find the area bounded by curves {x, y y ≥ x^2 and y =| x| |
| 13 |
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Using the method of integration find the area of the triangle ABC, coordinates of whose vertices |
| 14 |
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Using the method of integration find the area of the region bounded by lines 2x + y = 4, 3x – 2y = 6 |
| 15 |
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Find the area of the region {x, y y^2 = 4x, 4x^2 + 4y^2 = 9} |
| 16 |
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Area bounded by the curve y = x^3, the x axis and the ordinates x = – 2 and x = 1 is |
| 17 |
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The area bounded by the curve y = x|x|, x axis and the ordinates x = – 1 and x = 1 is given by |
| Ex -14 |
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the area of the region {x, y : 0 ≤ y ≤ x^2 + 1, 0 ≤ y ≤ x + 1, 0 ≤ x ≤ 2} |
| Ex12 |
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Find the area of the region bounded by the line y = 3x + 2, the x axis and the ordinates x = –1 and |
| 19 |
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The area bounded by the y axis, y = cos x and y = sin x when 0 ≤ x ≤ π2 |
