Answers by visitors named: Homework Dump!!!

you gotta be kidding. Too many problems, and no indication of any work on your part. The idea of this site is for students to post a typical problem that is troubling them. Then they get help, and can solve similar problems in the future. If <b>all</b> these problems are impossible for you to even start on, you are clearly unprepared to take the class, either in attitude, competence, or preparation. Drop it now! Study Art History or something.
The partial fractions part come to: (3x2+x+9)/((x2+5)(x-6)) = 3/(x-6) + 1/(x^2+5) both of those are easy to integrate, right?
so, did you do the long division? The details can be found here to verify your work. Click on the "long division" link. calc101 . com Then you can do the partial fraction and integration . . .