MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2016 ASDAN Math Tournament
2
2016 Calculus #2
2016 Calculus #2
Source:
August 8, 2022
2016
Calculus Test
Problem Statement
Suppose
a
a
a
and
b
b
b
are two variables that satisfy
∫
0
2
(
−
a
x
2
+
b
)
d
x
=
0
\textstyle\int_0^2(-ax^2+b)dx=0
∫
0
2
(
−
a
x
2
+
b
)
d
x
=
0
. What is
a
b
\tfrac{a}{b}
b
a
?
Back to Problems
View on AoPS