From bd1a5eb91d0f8c5adfc4e3d71cb6ff992616713e Mon Sep 17 00:00:00 2001 From: Opheliar99 <> Date: Sun, 4 Jul 2010 02:19:10 +0000 Subject: posted solutions of 2 and 3 in pset2 --- Problem Set 2.page | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) (limited to 'Problem Set 2.page') diff --git a/Problem Set 2.page b/Problem Set 2.page index 518dccb..d001972 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -39,8 +39,8 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ # Solutions 2. Since -$\sin(x) = \frac{\exp^{ix}-e^{-ix}}{2}$, -$\int_0^{2\pi} \sin^4(x) dx = \frac{{e^{ix}-e^{-ix}}^4}{16}$, +$\sin x = \frac{e^{ix}-e^{-ix}}{2}$, +$\int_0^{2\pi} \sin^4(x) dx = \frac{{e^{ix}-e^{-ix}}^{4}}{16}$, $ = \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$ If we express any periodic function $f(x)$ as -- cgit v1.2.3