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integration ends up with hypogeometirc function can not be done by sage

we know the integration of

1/(a^b+1)

with respect to a is going to get

2F1(1,1/a,1+1/a,-a^x)

where 2f1 is hypogeometric function. However, once we to that in sage, it is not possible to get results

sage: integrate(1/(x^b+1),x)  
integrate(1/(x^b + 1), x)

hope this can be fixed up latter or have some alternative way to work around.

click to hide/show revision 2
No.2 Revision

updated 2013-10-16 15:00:11 -0600

kcrisman gravatar image

integration ends up with hypogeometirc hypergeometirc function can not be done by sage

we know the integration of

1/(a^b+1)

with respect to a is going to get

2F1(1,1/a,1+1/a,-a^x)

where 2f1 is hypogeometric function. However, once we to that in sage, it is not possible to get results

sage: integrate(1/(x^b+1),x)  
integrate(1/(x^b + 1), x)

hope this can be fixed up latter or have some alternative way to work around.

click to hide/show revision 3
No.3 Revision

updated 2013-10-16 15:00:47 -0600

kcrisman gravatar image

integration ends up with hypergeometirc hypergeometric function can not be done by sage

we know the integration of

1/(a^b+1)

with respect to a is going to get

2F1(1,1/a,1+1/a,-a^x)

where 2f1 is hypogeometric function. However, once we to that in sage, it is not possible to get results

sage: integrate(1/(x^b+1),x)  
integrate(1/(x^b + 1), x)

hope this can be fixed up latter or have some alternative way to work around.