I can confirm the same behavior in Maple 16. Other computer algebra systems are able to compute the definite integral. Will be interesting to see why.

Maple 16 is able, however, to compute the numerical approximation of the integral using evalf().

Works fine, thanks!

Works fine, thanks!

I am aware of these options. I wanted to know specifically if this is possible within the TaylorApproximation command.

I am aware of these options. I wanted to know specifically if this is possible within the TaylorApproximation command.

I tried your command exactly in Maple 16 and it works fine.

This is just what I was looking for.

This is just what I was looking for.