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| -rw-r--r-- | Problem Set 1.page | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/Problem Set 1.page b/Problem Set 1.page index 7457222..7df1501 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -29,6 +29,6 @@ $\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4} $ (Hint: write out the exponential fourier expansion of $\sin^4(x)$.) 3. Compute the exponential Fourier coefficients of $\sin^2(x)$: -$a_n = \frac{1}{\sqrt(2\pi)} \int_0^{2\pi} sin^2(x) e^{-inx} dx $ +$a_n = \frac{1}{\sqrt(2\pi)} \int_0^{2\pi} sin^2(x) e^{-inx} dx$ and use this to show that -$\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2 $ +$\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2$ |