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Question: Cauchy Principle value

Question:Cauchy Principle value

maplematt 171 Maple
March 23 2008
0

Hello,

I am wondering if anyone knows why Maple gives different results calling this directly and applying the definition.  For example:

 

int(1/(4*sin(x)-3*cos(x)), x = -(1/2)*Pi .. (1/2)*Pi, 'CauchyPrincipalValue')

-(2/5)*ln(2)

 

vs.

 

 

limit(Int(1/(4*sin(x)-3*cos(x)), x = -(1/2)*Pi .. arctan(3/4)-e)+Int(1/(4*sin(x)-3*cos(x)), x = arctan(3/4)+e .. (1/2)*Pi), e = 0, right)

-(2/5)*ln(2)-(1/5*I)*Pi

 

What is the difference?
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