MathDB
Problems
Contests
National and Regional Contests
Japan Contests
Today's Calculation Of Integral
2011 Today's Calculation Of Integral
680
Today's calculation of Integral 680
Today's calculation of Integral 680
Source:
February 16, 2011
calculus
integration
calculus computations
Problem Statement
Let
a
>
0
a>0
a
>
0
. Evaluate
∫
0
a
x
2
(
1
−
x
a
)
a
d
x
\int_0^a x^2\left(1-\frac{x}{a}\right)^adx
∫
0
a
x
2
(
1
−
a
x
)
a
d
x
.2011 Keio University entrance exam/Science and Technology
Back to Problems
View on AoPS