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Today's Calculation Of Integral
2011 Today's Calculation Of Integral
678
Today's calculation of Integral 678
Today's calculation of Integral 678
Source:
February 9, 2011
calculus
integration
trigonometry
calculus computations
Problem Statement
Evaluate
∫
0
π
(
1
+
∑
k
=
1
n
k
cos
k
x
)
2
d
x
(
n
=
1
,
2
,
⋯
)
.
\int_0^{\pi} \left(1+\sum_{k=1}^n k\cos kx\right)^2dx\ \ (n=1,\ 2,\ \cdots).
∫
0
π
(
1
+
k
=
1
∑
n
k
cos
k
x
)
2
d
x
(
n
=
1
,
2
,
⋯
)
.
2011 Doshisya University entrance exam/Life Medical Sciences
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