1. The problem statement, all variables and given/known data [(3x^2)+10x+13]/[(x-1)([x^2]+4x+8)] 2. Relevant equations I think solving this question should include partial fractions. 3. The attempt at a solution I've made a few different attempts at this question but find myself at a dead end every time. One attempt was expanding the denominator (giving me [x^3]+3[x^2]+4x-8. I then let this equal v, hence dv/du= 3(u^2)+6u+4. From this I got my original equation to look like this: [((3x^2)+6x+4)+(4x+9)]/[(x^3)+3(x^2)+4x-8] hence: 1/v .dv + (4x+9)]/[(x^3)+3(x^2)+4x-8] . dx I can seem to differentiate the second part, but even worse I think this approach is wrong. If anyone has any advice or help with this sort of question please share, I would greatly appreciate it. Thanks guys.