x/(x^2+6x+18)=?

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x/(x^2+6x+18)=?
x/(x^2+6x+18)=?

x/(x^2+6x+18)=?
∫x/(x^2+6x+18)dt----------t=x+3
=∫(t-3)/(t^2+9)dt
=∫t/(t^2+9)dt-∫3/(t^2+9)dt
=1/2∫1/(t^2+9)dt^2-∫1/[(t/3)^2+1]d(t/3)
=(1/2)ln(t^2+9)-arctan(t/3)--------t=x+3
=(1/2)ln[(x+3)^2+9]-arctan[(x+3)/3]

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