Integral Intermediate

Problem - 4619

Compute $$\int\frac{1}{\sqrt{x^2+4x+5}}dx$$


$$\int\frac{1}{\sqrt{x^2+4x+5}}dx=\int\frac{1}{\sqrt{(x+2)^2+1}}dx=\boxed{\ln|(x+2)+ \sqrt{(x+2)^2+1}|+C}$$

The last step uses the result of # 4618.

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