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\(\int_{}^{}\frac{dx}{\sqrt{x^2+4x+3}}\)
Let, \ \[:. I=\int\limits \frac{ dx }{\sqrt((x+2)^{2}-1)}.\] \[=\ln|(x+2)+\sqrt((x+2)^{2}-1)|+C,\] \[=\ln |(x+2)+\sqrt(x ^{2}+4x+3)|+C.\]
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