trying to fix integrals

1 files changed, 5 insertions, 5 deletions

diff --git a/Problem Set 1.page b/Problem Set 1.page
index 88ec240..d77e2eb 100644
--- a/Problem Set 1.page
+++ b/Problem Set 1.page
@@ -1,5 +1,5 @@
 ## Countability
-
+$\int f(x)$
 1. Group the following sets according to their cardinality:
 
     a. $\mathbb{N} = \{ 1,2,3,4,\dots \}$
@@ -25,10 +25,10 @@ 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} $  
-(Hint: write out the exponential fourier expansion of $sin^4(x)$.)
+$\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 $sin^2(x)$:  
+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 $  
 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 $