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ISI B.Stat Entrance Exam
2005 ISI B.Stat Entrance Exam
2
sketch and find minimum of f(x)
sketch and find minimum of f(x)
Source: ISI(BS) 2005 #2
June 23, 2012
integration
calculus
function
LaTeX
derivative
algebra
polynomial
Problem Statement
Let
f
(
x
)
=
∫
0
1
∣
t
−
x
∣
t
d
t
f(x)=\int_0^1 |t-x|t \, dt
f
(
x
)
=
∫
0
1
∣
t
−
x
∣
t
d
t
for all real
x
x
x
. Sketch the graph of
f
(
x
)
f(x)
f
(
x
)
. What is the minimum value of
f
(
x
)
f(x)
f
(
x
)
?
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