From c92c58d1539e2c46109998bee74b7392f587a9e9 Mon Sep 17 00:00:00 2001 From: joshuab <> Date: Wed, 30 Jun 2010 20:20:30 +0000 Subject: trying to fix integrals --- Problem Set 1.page | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'Problem Set 1.page') 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 $ +$\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2$ -- cgit v1.2.3