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October 14, 2010 8:48 pm at 8:48 pm
#1221079
Pashuteh Yid
Member
Int((t^2), 1, 3^(1/3)) = (t^3)/3, from 1 to 3^(1/3)
= (3/3)-(1/3)=2/3
cos(3pi/9)=cos(pi/3)=cos 60 deg= 1/2
2/3*1/2= 1/3: (Left Hand Side)
ln(e^1/3)=1/3 ln(e)= 1/3 * 1 =1/3: (Right Hand Side)
LHS=RHS => check.