MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2006 Today's Calculation Of Integral
165
165
Part of
2006 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 165
Source: created by kunny
10/25/2006
On
x
−
y
x-y
x
−
y
plane, let
C
:
y
=
2006
x
3
−
12070102
x
2
+
⋯
.
C: y=2006x^{3}-12070102x^{2}+\cdots.
C
:
y
=
2006
x
3
−
12070102
x
2
+
⋯
.
Find the area of the region surrounded by the tangent line of
C
C
C
at
x
=
2006
x=2006
x
=
2006
and the curve
C
.
C.
C
.
calculus
integration
geometry
calculus computations