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Today's Calculation Of Integral
2007 Today's Calculation Of Integral
194
Today's calculation of Integral 194
Today's calculation of Integral 194
Source: created by kunny
March 25, 2007
calculus
integration
calculus computations
Problem Statement
Evaluate
∑
n
=
0
2006
∫
0
1
d
x
2
(
x
+
n
+
1
)
(
x
+
n
)
(
x
+
n
+
1
)
\sum_{n=0}^{2006}\int_{0}^{1}\frac{dx}{2(x+n+1)\sqrt{(x+n)(x+n+1)}}
n
=
0
∑
2006
∫
0
1
2
(
x
+
n
+
1
)
(
x
+
n
)
(
x
+
n
+
1
)
d
x
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