## integrate (5x+2)dx/(x-2) from 0 to 1

1. The problem statement, all variables and given/known data

$$\int\frac{(5x+2)dx}{x-2}$$ from 0 to 1

2. Relevant equations

3. The attempt at a solution

ive tried splitting it up into (5x)/(x-2) + (2)/x-2), but i couldnt go any farter. Ived also tried using lots of U subsitutions, but i cant figure out what do next. Is there some trick that i am not seeing?

 PhysOrg.com science news on PhysOrg.com >> Hong Kong launches first electric taxis>> Morocco to harness the wind in energy hunt>> Galaxy's Ring of Fire
 Recognitions: Homework Help Science Advisor Yep, the obvious one. u=x-2. dx=du. x=2+u.
 Blog Entries: 47 Recognitions: Gold Member Homework Help Science Advisor Another way to split it up [without explicitly invoking a substitution] is to write the numerator 5x+2 as 5(x-2)+12.

## integrate (5x+2)dx/(x-2) from 0 to 1

 Quote by robphy Another way to split it up [without explicitly invoking a substitution] is to write the numerator 5x+2 as 5(x-2)+12.
Woah, woulda never thought of that. Nice, I want your vision :-]

Recognitions:
Homework Help
 Quote by robphy Another way to split it up [without explicitly invoking a substitution] is to write the numerator 5x+2 as 5(x-2)+12.
You'll still want u=x-2 to do the 12/(x-2) part.

 Just do polynomial division. It becomes 5 + 12/(x - 2). Oops.

Blog Entries: 47
Recognitions:
Gold Member
Homework Help