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Diffstat (limited to 'Problem Set 2.page')
| -rw-r--r-- | Problem Set 2.page | 3 |
1 files changed, 2 insertions, 1 deletions
diff --git a/Problem Set 2.page b/Problem Set 2.page index 1cbcce1..06528fc 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -85,7 +85,8 @@ $m = -2 : a_m = \frac{1}{4 \sqrt{2\pi}} \times 2\pi = \sqrt{2\pi}/4$, Then, -$\sum |a_n|^2 = {\sqrt{2\pi}/4}^2 + {- \sqrt{2\pi}/2}^2 + {\sqrt{2\pi}/4}^2 = \frac{3 \pi}{4}$ +$\sum |a_n|^2 = {\sqrt{2\pi}/4}^2 + {- \sqrt{2\pi}/2}^2 + {\sqrt{2\pi}/4}^2 = \frac{3 \pi}{4}$. + And, it was shown in Prob 2 that $\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$. Therefore, |