#Note added after class: I  MESSED UP! When I copied the limerick the last word is e not three

#Here is the corrected version
#-----------------------

# The integral of z-squared dz

# From one to the cube root of three

# Times the cosine

# Of three pi over nine

# Equals log of the cube root of e


#Here is the answer
#Lines 1 and 2: int(z^2,z=1..3^(1/3))=  z^3/3 at z=3^(1/3) minus z^3/3 at z=1= ((3^(1/3))^3-1^3)/3= (3-1)/3=2/3
#Lines 3 and 4: cos(3*Pi/9)=cos(Pi/3)=1/2
#So the multiplication is 2/3*1/2=1/3

#Last line: log(e^(1/3))= 1/3*log(e)= 1/3*1 =1/3

#Yea! They are equal

#Note: In advanced mathematics (and Maple) log  means "natural log"