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| author | joshuab <> | 2010-06-30 20:20:56 +0000 |
|---|---|---|
| committer | bnewbold <bnewbold@adelie.robocracy.org> | 2010-06-30 20:20:56 +0000 |
| commit | 0f14772c07e7d657c35175330d32598319719d04 (patch) | |
| tree | eae38b104be48db07a53dd3262d6c50579f74282 /Problem Set 1.page | |
| parent | c92c58d1539e2c46109998bee74b7392f587a9e9 (diff) | |
| download | afterklein-wiki-0f14772c07e7d657c35175330d32598319719d04.tar.gz afterklein-wiki-0f14772c07e7d657c35175330d32598319719d04.zip | |
trying to fix integrals
Diffstat (limited to 'Problem Set 1.page')
| -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 $\sin^2(x)$: |