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authorOpheliar99 <>2010-07-04 04:29:26 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-04 04:29:26 +0000
commit58faa9b3a55c388ea876158176de46d1b154b0d0 (patch)
tree3f7f717143653141a1ebb783b16630c19d7ea966 /Problem Set 2.page
parent0774a65c9cdbd4992b972eefff31b2da83c2c40b (diff)
downloadafterklein-wiki-58faa9b3a55c388ea876158176de46d1b154b0d0.tar.gz
afterklein-wiki-58faa9b3a55c388ea876158176de46d1b154b0d0.zip
posted solutions of 2 and 3 in pset2
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@@ -40,6 +40,7 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$
2. Since
$\sin x = \frac{e^{ix}-e^{-ix}}{2}$,
+
$\sin^4 x = \frac{{( e^{ix}-e^{-ix} )}^4}{16}$
$= \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$.