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Question: How to calculate

Question:How to calculate

Markiyan Hirnyk 7759 Maple
integral cauchyprincipalvalue
September 15 2010
2

the integral
>int(1/x^2-cot(x)/x,x=0..infinity,CauchyPrincipalValue);
with Maple ?
Stars predict it equals Pi/2. Maple 13 easily cracks the integral
>int(tan(x)/x,x=0..infinity,CauchyPrincipalValue)=Pi/2.
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