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Today's Calculation Of Integral
2008 Today's Calculation Of Integral
332
332
Part of
2008 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 332
Source: 1970 Rikkyo University entrance exam/Science
6/2/2008
Let
f
(
x
)
f(x)
f
(
x
)
be a function such that 1\minus{}f(x)\equal{}f(1\minus{}x) for
0
≤
x
≤
1
0\leq x\leq 1
0
≤
x
≤
1
. Evaluate
∫
0
1
f
(
x
)
d
x
\int_0^1 f(x)\ dx
∫
0
1
f
(
x
)
d
x
.
calculus
integration
function
calculus computations