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Diffstat (limited to 'Problem Set 2.page')
| -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 518dccb..d001972 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -39,8 +39,8 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ # Solutions 2. Since -$\sin(x) = \frac{\exp^{ix}-e^{-ix}}{2}$, -$\int_0^{2\pi} \sin^4(x) dx = \frac{{e^{ix}-e^{-ix}}^4}{16}$, +$\sin x = \frac{e^{ix}-e^{-ix}}{2}$, +$\int_0^{2\pi} \sin^4(x) dx = \frac{{e^{ix}-e^{-ix}}^{4}}{16}$, $ = \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$ If we express any periodic function $f(x)$ as |