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)).
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)).