8, the area of the ellipse is
= 
0
4∫
b xdy  = 
2
2
0
4
−
∫
ab
b
y dy
b
 (Why )
= 
2
2
2
–1
0
4
sin
2
2
b
a
y
b
y
b
y
b
b


−
+




= 
2
–1
4
0
sin 1
0
2
2
a
b
b
b




× +
−










= 
2
4
2 2
a b
ab
b
π =π
8 2 1  The area of the region bounded by a curve and a line
In this subsection, we will find the area of the region bounded by a line and a circle,
a line and a parabola, a line and an ellipse