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| author | Opheliar99 <> | 2010-07-04 02:22:35 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-07-04 02:22:35 +0000 |
| commit | 413b07d78a4b1f0bd292ff982e061862b003e9cf (patch) | |
| tree | e4edf6130593a46a6e6912de7f84ba314ff6ecfd | |
| parent | 3ceb2d9901fb49cb0a12828dc2fc45e410ca886f (diff) | |
| download | afterklein-wiki-413b07d78a4b1f0bd292ff982e061862b003e9cf.tar.gz afterklein-wiki-413b07d78a4b1f0bd292ff982e061862b003e9cf.zip | |
posted solutions of 2 and 3 in pset2
| -rw-r--r-- | Problem Set 2.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 2.page b/Problem Set 2.page index 4811096..02a8f48 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -40,9 +40,9 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ 2. Since $\sin x = \frac{e^{ix}-e^{-ix}}{2}$, -$\int_0^{2\pi} \sin^4(x) dx = \frac{{( e^{ix}-e^{-ix})}^{4}}{16}$, +$ \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}$. +$ \= \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 |