Int (3x^3.5)/(3+x^2.5) dx
I tried using integration by parts and the equation uv-int (vdu) and im not getting the right answer. Could someone please show me the steps on how to do this question?
Have you considered making the u-substitution ? Then , and your integral becomes
The first term is easily integrated, leaving the rational function to be integrated.
Using the fifth roots of unity, one can factor the denominator above into real linear and quadratic factors:
One can then use partial fractions to separate the above into rational functions with linear or quadratic denominators, which you should be able to integrate.
--Kevin C.