You appear to have a dependent limit. Are you sure that is correct?.
The integral is from t to infinity and R(t)= 2 divided by (2 + t cubed) where t is greater than zero. Obvious methods substitution, integration by parts do not work. i was unable to factorise the denominator into linear factors and therefore it may not be possible to use partial fractions. Your help would be much appreciated. thanks
To get the integral, you require a partial fraction decomposition:
where and you get the values of A and B in the usual way.
While this is a pain due to the awkward value of a, it's a straightforward pain.
Then you have to integrate. I get ..... ... a mess that I can't even be bothered typing.