Find the half-range sine series of the function
f(x)=x(\pi -x)
on the interval
xin[0,\pi ]
. Hence, find the sum of the series
\sum_1^(\infty )
((-1)^(n-1))/((2n-1)^(3)).

Question

03-06-2024
Mathematics

Answered

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Find the half-range sine series of the function
f(x)=x(\pi -x)
on the interval
xin[0,\pi ]
. Hence, find the sum of the series
\sum_1^(\infty )
((-1)^(n-1))/((2n-1)^(3)).

Sagot :

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