posted solutions of 2 and 3 in pset2

1 files changed, 2 insertions, 0 deletions

diff --git a/Problem Set 2.page b/Problem Set 2.page
index 523ce40..1cbcce1 100644
--- a/Problem Set 2.page
+++ b/Problem Set 2.page
@@ -62,6 +62,7 @@ $\int_0^{2\pi} \sin^4(x) dx = <1, f> = \sqrt{2\pi} \times < f_0, f >$
 $= \sqrt{2\pi} \times a_0 = \frac{3 \pi}{4}$
 
 
+
 3. Since
 $\sin x = \frac{e^{ix}-e^{-ix}}{2}$,
 
@@ -86,6 +87,7 @@ Then,
 
 $\sum |a_n|^2 = {\sqrt{2\pi}/4}^2 + {- \sqrt{2\pi}/2}^2 + {\sqrt{2\pi}/4}^2 = \frac{3 \pi}{4}$
 And, it was shown in Prob 2 that $\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$.
+
 Therefore, 
 
 $\int_0^{2\pi} \sin^4(x) dx = \sum |a_n|^2 = \frac{3 \pi}{4}$