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Definite integral


I don't understand Mathematica can't calculate the last definite
integral. For the first three integrals works fine, but for the last
one crush. You can see in this paper

http://mathematicaes.googlegroups.com/web/Curves.pdf?gda=7zTXujoAAAA-whg7foWysEERSilJsIeVif4THE-OC9pisLLDECe8l5BwmXXnNsFOempl8HAl8JkHsusoMR-tRlq_vv1lRgeh&gsc=CGn5gQsAAABmIpg7U95zHJwjbRxzLtsD

Thanks


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