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authorOpheliar99 <>2010-07-04 02:21:19 +0000
committerbnewbold <bnewbold@adelie.robocracy.org>2010-07-04 02:21:19 +0000
commit32e82967016f48f091427bc4f57706aba5194d01 (patch)
tree489365632e0d48a87bd18a179319c0a76f48c780 /Problem Set 2.page
parent1d9ba4013d87ddeb4a1404f5c9812b2ebf13c417 (diff)
downloadafterklein-wiki-32e82967016f48f091427bc4f57706aba5194d01.tar.gz
afterklein-wiki-32e82967016f48f091427bc4f57706aba5194d01.zip
posted solutions of 2 and 3 in pset2
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@@ -40,7 +40,7 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$
2. Since
$\sin x = \frac{e^{ix}-e^{-ix}}{2}$,
-$\int_0^{2\pi} \sin^4(x) dx = \frac{{\left e^{ix}-e^{-ix} \right}^{4}}{16}$,
+$\int_0^{2\pi} \sin^4(x) dx = \frac{(\left e^{ix}-e^{-ix})}^{4}}{16}$,
$ = \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$.