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Fourier Series

$x(\pi -x)=\frac { 8 }{ \pi } \left(\frac { \sin { x } }{ { 1 }^{ 3 } } +\frac { \sin { 3x } }{ { 3 }^{ 3 } } +\frac { \sin { 5x } }{ 5^{ 3 } } +\cdots\right )$

For $$0\le x\le \pi$$, use Fourier Series to prove the equation above.

Note by Alvin Willio
11 months, 3 weeks ago

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