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Diffstat (limited to 'Problem Set 2.page')
| -rw-r--r-- | Problem Set 2.page | 5 |
1 files changed, 2 insertions, 3 deletions
diff --git a/Problem Set 2.page b/Problem Set 2.page index 02a8f48..7918c1a 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -40,9 +40,8 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ 2. Since $\sin x = \frac{e^{ix}-e^{-ix}}{2}$, -$ \sin^4(x) dx = \frac{{( e^{ix}-e^{-ix})}^{4}}{16}$, - -$ \= \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$. +$ \sin^4 x = \frac{{( e^{ix}-e^{-ix})}^{4}}{16}$, +$ = \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$. If we express any periodic function $f(x)$ as |