AREA BETWEEN TWO CURVES USING INTEGRATION WORKSHEET

(1)  Find the area of the region bounded by the line

x-y = 1 

x - axis x = 2 and x = 4             Solution

(2)  Find the area of the region bounded by the line

x-y = 1 

x - axis , x = - 2 and x = 0           Solution

(3)  Find the area of the region by the line

x-2y-12  =  0

and  y - axis, y = 2 and y = 5.              Solution

(4)  Find the area of the region bounded by the line

y = x - 5

and the x - axis between the ordinates x = 3 and x = 7.

Solution

(5)  Find the area of the region bounded by

x2  =  36y 

y - axis , y = 2 and y = 4              Solution

(6)  Find the area included between the parabola

y2  =  4ax

and its latus rectum.               Solution

(7)  Find the area of the region bounded by the ellipse

(x2/9) + (y2/5)  =  1

between the two latus rectum.             Solution

(8)  Find the area of the region bounded by the parabola

y2  =  4x

and the line

2x-y = 4

Solution

(9)  In the figure given below, the equation of the solid parabola is y  =  x2 - 3 and the equation of the dashed line is y  =  2x. Determine the area of the shaded region.

Solution

(10)  Determine the area of the shaded region bounded by

y  =  -x2 + 7x and y  =  x2 - 5x

Solution

(11)  In the graph given below, the equation of the parabola is

x  =  (y-2)2/2

and the equation of the line

y  =  6-x.

Determine the area of the shaded region.

Solution

(12)  Find the common area enclosed by the parabolas

4y2  =  9x

and

3x2  =  16y

Solution

(13)  Find the area of the circle whose radius is a

Solution

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