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waealu
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Homework Statement
Evaluate the integral when x > 0:
indefinite integral of ln(x2+19x+84)dx
Homework Equations
I know I need to use some form of integration by parts: integral of u*dv=uv-(integral of(du*v))
The Attempt at a Solution
I began by making u=ln(x2+19x+84) and dv=dx. Thus, (after u-substitution) du=(2x+19)/(x2+19x+84) and v=x.
After putting that in the formula, we get x*ln(x2+19x+84)-(integral of)((2x2+19x)/(x2+19x+84)). After simplifying that, I get:
x*ln(x2+19x+84)-((x2+19x+84)(4x+19)-(2x2+19x)(2x+19))/((x2+19x+84)2)
But according to the program I am using, that is the incorrect answer. Do you have any suggestions? Thanks.
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