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^

Algebra ->  Equations -> 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^      Log On


   



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) About Me  (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
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(Use u=2x^(2)-11x+19)
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Then du = 4x-11 dx
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Substitute and you get:
Integral of [1/u]du
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That integral is ln(u) + C
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Answer: ln(2x^2-11x+19) + C
====================================
Cheers,
Stan H.

Answer by user_dude2008(1862) About Me  (Show Source):
Answer by jsmallt9(3758) About Me  (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:
ln%28abs%282x%5E2%2B11x%2B19%29%29+%2B+C