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more wrong integrals


Hello!

Here are two integrals in two variables that Mathematica 4 gets wrong:

Integrate[Cos[t]/r, {r, 0, 1}, {t, 0, Pi/2}]  gives  0

Integrate[Cos[t]/r^2, {r, 0, 1}, {t, 0, Pi/2}]  gives   -1

although the functions are >0 in the integration region,
and the integrals diverge.

Regards,

             Gianluca Gorni
-- 


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 | Gianluca Gorni                  |
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