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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 7df1501..885d438 100644 --- a/Problem Set 1.page +++ b/Problem Set 1.page @@ -1,5 +1,5 @@ ## Countability -$\int_0^\infty$ + 1. Group the following sets according to their cardinality: a. $\mathbb{N} = \{ 1,2,3,4,\dots \}$ @@ -25,7 +25,7 @@ Cook up other examples and post them on the wiki! - $g(x) = x(x-2\pi)$ (Hint: Use integration by parts) 2. Show that -$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4} $ +$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$ (Hint: write out the exponential fourier expansion of $\sin^4(x)$.) 3. Compute the exponential Fourier coefficients of $\sin^2(x)$: |