SOLUTION: Hi I was wondering if someone could help with this problem. Find the indefinite integral using u substitution for the following: (4x-11)/(2x^(2)-11x+19) dx (Use u=2x^

Question 230355: Hi I was wondering if someone could help with this problem.
Find the indefinite integral using u substitution for the following:
(4x-11)/(2x^(2)-11x+19) dx (Use u=2x^(2)-11x+19)
Thanks, Judy
Found 3 solutions by stanbon, user_dude2008, jsmallt9:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the indefinite integral using u substitution for the following:
Integral of [(4x-11)/(2x^(2)-11x+19)] dx
---
(Use u=2x^(2)-11x+19)
----------------
Then du = 4x-11 dx
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Substitute and you get:
Integral of [1/u]du
---
That integral is ln(u) + C
-----
Answer: ln(2x^2-11x+19) + C
====================================
Cheers,
Stan H.

Answer by user_dude2008(1862)   (Show Source): You can put this solution on YOUR website!

Let

Answer:

Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
The only thing I would add to the solutions you already have is that you must use absolute value to ensure that the argument of ln is positive. So the answer is:

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