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Details for 178_InterestingInt.mw

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Uploaded by Doug Meade(Maple Rating 4 739) (View other files uploaded by Doug Meade)

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> restart;

> I1 := Int( 1/x^p, x=1..infinity );

Maple Equation

> value( I1 );

Maple Equation

> value( I1 ) assuming p>1;   # correct
value( I1 ) assuming p=1;   # correct
value( I1 ) assuming p<1;   # not simplified (cancel p-1 from numer and denom)

Maple Equation

Maple Equation

Maple Equation

> simplify( % );

Maple Equation

>

> I2 := eval( I1, p=1 );

Maple Equation

> value( I2 );

Maple Equation

>

> R1 := int( 1/x^p, x=1..infinity );

Maple Equation

> R1 assuming p>1;            # correct
R1 assuming p=1;            # incorrect (but didn't have a chance because antiderivative is incorrect)
R1 assuming p<1;            # correct

Maple Equation

Maple Equation

Maple Equation

>

>

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