MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2006 Today's Calculation Of Integral
147
147
Part of
2006 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 147
Source: Fukushima Medical University entrance exam 1980
8/28/2006
Find the area of the figure surrounded by the curve
2
(
x
2
+
1
)
y
2
+
8
x
2
y
+
x
4
+
4
x
2
ā
1
=
0.
2(x^{2}+1)y^{2}+8x^{2}y+x^{4}+4x^{2}-1=0.
2
(
x
2
+
1
)
y
2
+
8
x
2
y
+
x
4
+
4
x
2
ā
1
=
0.
calculus
integration
geometry
quadratics
function
trigonometry
algebra