From 1d9ba4013d87ddeb4a1404f5c9812b2ebf13c417 Mon Sep 17 00:00:00 2001 From: Opheliar99 <> Date: Sun, 4 Jul 2010 02:20:32 +0000 Subject: posted solutions of 2 and 3 in pset2 --- Problem Set 2.page | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) (limited to 'Problem Set 2.page') diff --git a/Problem Set 2.page b/Problem Set 2.page index d001972..5d48dd5 100644 --- a/Problem Set 2.page +++ b/Problem Set 2.page @@ -40,8 +40,9 @@ $\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$ 2. Since $\sin x = \frac{e^{ix}-e^{-ix}}{2}$, -$\int_0^{2\pi} \sin^4(x) dx = \frac{{e^{ix}-e^{-ix}}^{4}}{16}$, -$ = \frac{e^{i 4x}+e^{-i 4x}-4 e^{i 2x} -4 e^{-i 2x}+6}{16}$ +$\int_0^{2\pi} \sin^4(x) dx = \frac{{\left e^{ix}-e^{-ix} \right}^{4}}{16}$, + +$ = \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